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Finding the Fourth Proportional to 152,614.90, 210,565.52 and 120,249.17

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Solution

The fourth proportional to 152,614.90, 210,565.52 and 120,249.17 is: 165,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,614.90 : 210,565.52 = 120,249.17 : x
  2. Step 2: Convert to fraction form
    152,614.90/210,565.52 = 120,249.17/x
  3. Step 3: Cross multiply
    152,614.90x = 210,565.52 × 120,249.17
  4. Step 4: Simplify right side
    152,614.90x = 25,320,327,957.79
  5. Step 5: Solve for x
    x = 25,320,327,957.79/152,614.90
  6. Step 6: Final answer
    x = 165,909.94

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