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Finding the Fourth Proportional to 202,386.20, 302,801.70 and 132,402.20

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Solution

The fourth proportional to 202,386.20, 302,801.70 and 132,402.20 is: 198,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,386.20 : 302,801.70 = 132,402.20 : x
  2. Step 2: Convert to fraction form
    202,386.20/302,801.70 = 132,402.20/x
  3. Step 3: Cross multiply
    202,386.20x = 302,801.70 × 132,402.20
  4. Step 4: Simplify right side
    202,386.20x = 40,091,611,243.74
  5. Step 5: Solve for x
    x = 40,091,611,243.74/202,386.20
  6. Step 6: Final answer
    x = 198,094.59

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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.