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Finding the Fourth Proportional to 131,145.68, 180,974.28 and 71,518.16

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Solution

The fourth proportional to 131,145.68, 180,974.28 and 71,518.16 is: 98,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,145.68 : 180,974.28 = 71,518.16 : x
  2. Step 2: Convert to fraction form
    131,145.68/180,974.28 = 71,518.16/x
  3. Step 3: Cross multiply
    131,145.68x = 180,974.28 × 71,518.16
  4. Step 4: Simplify right side
    131,145.68x = 12,942,947,512.92
  5. Step 5: Solve for x
    x = 12,942,947,512.92/131,145.68
  6. Step 6: Final answer
    x = 98,691.38

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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.