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Finding the Fourth Proportional to 129,200.46, 178,274.95 and 71,838.15

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Solution

The fourth proportional to 129,200.46, 178,274.95 and 71,838.15 is: 99,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,200.46 : 178,274.95 = 71,838.15 : x
  2. Step 2: Convert to fraction form
    129,200.46/178,274.95 = 71,838.15/x
  3. Step 3: Cross multiply
    129,200.46x = 178,274.95 × 71,838.15
  4. Step 4: Simplify right side
    129,200.46x = 12,806,942,599.34
  5. Step 5: Solve for x
    x = 12,806,942,599.34/129,200.46
  6. Step 6: Final answer
    x = 99,124.59

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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.