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Finding the Fourth Proportional to 356,073.72, 534,108.96 and 145,711.68

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Solution

The fourth proportional to 356,073.72, 534,108.96 and 145,711.68 is: 218,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,073.72 : 534,108.96 = 145,711.68 : x
  2. Step 2: Convert to fraction form
    356,073.72/534,108.96 = 145,711.68/x
  3. Step 3: Cross multiply
    356,073.72x = 534,108.96 × 145,711.68
  4. Step 4: Simplify right side
    356,073.72x = 77,825,913,864.65
  5. Step 5: Solve for x
    x = 77,825,913,864.65/356,073.72
  6. Step 6: Final answer
    x = 218,566.86

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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.