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Finding the Fourth Proportional to 130,712.76, 195,753.24 and 74,382.24

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Solution

The fourth proportional to 130,712.76, 195,753.24 and 74,382.24 is: 111,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712.76 : 195,753.24 = 74,382.24 : x
  2. Step 2: Convert to fraction form
    130,712.76/195,753.24 = 74,382.24/x
  3. Step 3: Cross multiply
    130,712.76x = 195,753.24 × 74,382.24
  4. Step 4: Simplify right side
    130,712.76x = 14,560,564,478.46
  5. Step 5: Solve for x
    x = 14,560,564,478.46/130,712.76
  6. Step 6: Final answer
    x = 111,393.60

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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.