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Finding the Fourth Proportional to 201,490.76, 302,014.46 and 83,097.38

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Solution

The fourth proportional to 201,490.76, 302,014.46 and 83,097.38 is: 124,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,490.76 : 302,014.46 = 83,097.38 : x
  2. Step 2: Convert to fraction form
    201,490.76/302,014.46 = 83,097.38/x
  3. Step 3: Cross multiply
    201,490.76x = 302,014.46 × 83,097.38
  4. Step 4: Simplify right side
    201,490.76x = 25,096,610,348.11
  5. Step 5: Solve for x
    x = 25,096,610,348.11/201,490.76
  6. Step 6: Final answer
    x = 124,554.65

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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.