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Finding the Fourth Proportional to 201,897,715.20, 302,846,572.80 and 137,400,460.80

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Solution

The fourth proportional to 201,897,715.20, 302,846,572.80 and 137,400,460.80 is: 206,100,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897,715.20 : 302,846,572.80 = 137,400,460.80 : x
  2. Step 2: Convert to fraction form
    201,897,715.20/302,846,572.80 = 137,400,460.80/x
  3. Step 3: Cross multiply
    201,897,715.20x = 302,846,572.80 × 137,400,460.80
  4. Step 4: Simplify right side
    201,897,715.20x = 41,611,258,654,420,752
  5. Step 5: Solve for x
    x = 41,611,258,654,420,752/201,897,715.20
  6. Step 6: Final answer
    x = 206,100,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.