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Finding the Fourth Proportional to 127,812.69, 176,381.86 and 76,854.60

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Solution

The fourth proportional to 127,812.69, 176,381.86 and 76,854.60 is: 106,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,812.69 : 176,381.86 = 76,854.60 : x
  2. Step 2: Convert to fraction form
    127,812.69/176,381.86 = 76,854.60/x
  3. Step 3: Cross multiply
    127,812.69x = 176,381.86 × 76,854.60
  4. Step 4: Simplify right side
    127,812.69x = 13,555,757,105.42
  5. Step 5: Solve for x
    x = 13,555,757,105.42/127,812.69
  6. Step 6: Final answer
    x = 106,059.56

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