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Finding the Fourth Proportional to 177,734.96, 266,709.92 and 77,900.88

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Solution

The fourth proportional to 177,734.96, 266,709.92 and 77,900.88 is: 116,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,734.96 : 266,709.92 = 77,900.88 : x
  2. Step 2: Convert to fraction form
    177,734.96/266,709.92 = 77,900.88/x
  3. Step 3: Cross multiply
    177,734.96x = 266,709.92 × 77,900.88
  4. Step 4: Simplify right side
    177,734.96x = 20,776,937,472.73
  5. Step 5: Solve for x
    x = 20,776,937,472.73/177,734.96
  6. Step 6: Final answer
    x = 116,898.43

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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.