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Finding the Fourth Proportional to 202,938.74, 304,410.17 and 90,624.68

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Solution

The fourth proportional to 202,938.74, 304,410.17 and 90,624.68 is: 135,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.74 : 304,410.17 = 90,624.68 : x
  2. Step 2: Convert to fraction form
    202,938.74/304,410.17 = 90,624.68/x
  3. Step 3: Cross multiply
    202,938.74x = 304,410.17 × 90,624.68
  4. Step 4: Simplify right side
    202,938.74x = 27,587,073,791.87
  5. Step 5: Solve for x
    x = 27,587,073,791.87/202,938.74
  6. Step 6: Final answer
    x = 135,937.94

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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.