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Finding the Fourth Proportional to 177,742.60, 266,516.70 and 72,442.60

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Solution

The fourth proportional to 177,742.60, 266,516.70 and 72,442.60 is: 108,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,742.60 : 266,516.70 = 72,442.60 : x
  2. Step 2: Convert to fraction form
    177,742.60/266,516.70 = 72,442.60/x
  3. Step 3: Cross multiply
    177,742.60x = 266,516.70 × 72,442.60
  4. Step 4: Simplify right side
    177,742.60x = 19,307,162,691.42
  5. Step 5: Solve for x
    x = 19,307,162,691.42/177,742.60
  6. Step 6: Final answer
    x = 108,624.28

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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.