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Finding the Fourth Proportional to 127,711.86, 176,221.26 and 77,410.86

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Solution

The fourth proportional to 127,711.86, 176,221.26 and 77,410.86 is: 106,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711.86 : 176,221.26 = 77,410.86 : x
  2. Step 2: Convert to fraction form
    127,711.86/176,221.26 = 77,410.86/x
  3. Step 3: Cross multiply
    127,711.86x = 176,221.26 × 77,410.86
  4. Step 4: Simplify right side
    127,711.86x = 13,641,439,286.88
  5. Step 5: Solve for x
    x = 13,641,439,286.88/127,711.86
  6. Step 6: Final answer
    x = 106,814.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.