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Finding the Fourth Proportional to 234,086.16, 351,149.49 and 65,609.40

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Solution

The fourth proportional to 234,086.16, 351,149.49 and 65,609.40 is: 98,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,086.16 : 351,149.49 = 65,609.40 : x
  2. Step 2: Convert to fraction form
    234,086.16/351,149.49 = 65,609.40/x
  3. Step 3: Cross multiply
    234,086.16x = 351,149.49 × 65,609.40
  4. Step 4: Simplify right side
    234,086.16x = 23,038,707,349.21
  5. Step 5: Solve for x
    x = 23,038,707,349.21/234,086.16
  6. Step 6: Final answer
    x = 98,419.78

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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.