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Finding the Fourth Proportional to 130,615.80, 180,251.85 and 76,166.52

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Solution

The fourth proportional to 130,615.80, 180,251.85 and 76,166.52 is: 105,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,615.80 : 180,251.85 = 76,166.52 : x
  2. Step 2: Convert to fraction form
    130,615.80/180,251.85 = 76,166.52/x
  3. Step 3: Cross multiply
    130,615.80x = 180,251.85 × 76,166.52
  4. Step 4: Simplify right side
    130,615.80x = 13,729,156,138.06
  5. Step 5: Solve for x
    x = 13,729,156,138.06/130,615.80
  6. Step 6: Final answer
    x = 105,110.99

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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.