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Finding the Fourth Proportional to 130,950, 180,711 and 71,334

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Solution

The fourth proportional to 130,950, 180,711 and 71,334 is: 98,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,950 : 180,711 = 71,334 : x
  2. Step 2: Convert to fraction form
    130,950/180,711 = 71,334/x
  3. Step 3: Cross multiply
    130,950x = 180,711 × 71,334
  4. Step 4: Simplify right side
    130,950x = 12,890,838,474
  5. Step 5: Solve for x
    x = 12,890,838,474/130,950
  6. Step 6: Final answer
    x = 98,440.92

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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.