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Finding the Fourth Proportional to 127,505.20, 191,257.80 and 76,766.80

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Solution

The fourth proportional to 127,505.20, 191,257.80 and 76,766.80 is: 115,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,505.20 : 191,257.80 = 76,766.80 : x
  2. Step 2: Convert to fraction form
    127,505.20/191,257.80 = 76,766.80/x
  3. Step 3: Cross multiply
    127,505.20x = 191,257.80 × 76,766.80
  4. Step 4: Simplify right side
    127,505.20x = 14,682,249,281.04
  5. Step 5: Solve for x
    x = 14,682,249,281.04/127,505.20
  6. Step 6: Final answer
    x = 115,150.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.