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Finding the Fourth Proportional to 177,776.52, 266,763.18 and 106,524.12

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Solution

The fourth proportional to 177,776.52, 266,763.18 and 106,524.12 is: 159,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,776.52 : 266,763.18 = 106,524.12 : x
  2. Step 2: Convert to fraction form
    177,776.52/266,763.18 = 106,524.12/x
  3. Step 3: Cross multiply
    177,776.52x = 266,763.18 × 106,524.12
  4. Step 4: Simplify right side
    177,776.52x = 28,416,712,997.90
  5. Step 5: Solve for x
    x = 28,416,712,997.90/177,776.52
  6. Step 6: Final answer
    x = 159,845.14

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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.