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Finding the Fourth Proportional to 177,889.86, 266,834.79 and 84,344.58

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Solution

The fourth proportional to 177,889.86, 266,834.79 and 84,344.58 is: 126,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,889.86 : 266,834.79 = 84,344.58 : x
  2. Step 2: Convert to fraction form
    177,889.86/266,834.79 = 84,344.58/x
  3. Step 3: Cross multiply
    177,889.86x = 266,834.79 × 84,344.58
  4. Step 4: Simplify right side
    177,889.86x = 22,506,068,291.94
  5. Step 5: Solve for x
    x = 22,506,068,291.94/177,889.86
  6. Step 6: Final answer
    x = 126,516.87

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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.