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Finding the Fourth Proportional to 237,657.72, 356,565.99 and 77,740.92

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Solution

The fourth proportional to 237,657.72, 356,565.99 and 77,740.92 is: 116,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,657.72 : 356,565.99 = 77,740.92 : x
  2. Step 2: Convert to fraction form
    237,657.72/356,565.99 = 77,740.92/x
  3. Step 3: Cross multiply
    237,657.72x = 356,565.99 × 77,740.92
  4. Step 4: Simplify right side
    237,657.72x = 27,719,768,103.31
  5. Step 5: Solve for x
    x = 27,719,768,103.31/237,657.72
  6. Step 6: Final answer
    x = 116,637.36

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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.