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Finding the Fourth Proportional to 261,711.29, 361,132.89 and 146,966.69

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Solution

The fourth proportional to 261,711.29, 361,132.89 and 146,966.69 is: 202,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,711.29 : 361,132.89 = 146,966.69 : x
  2. Step 2: Convert to fraction form
    261,711.29/361,132.89 = 146,966.69/x
  3. Step 3: Cross multiply
    261,711.29x = 361,132.89 × 146,966.69
  4. Step 4: Simplify right side
    261,711.29x = 53,074,505,493.43
  5. Step 5: Solve for x
    x = 53,074,505,493.43/261,711.29
  6. Step 6: Final answer
    x = 202,797.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.