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Finding the Fourth Proportional to 129,297.88, 178,432.16 and 72,708.76

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Solution

The fourth proportional to 129,297.88, 178,432.16 and 72,708.76 is: 100,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.88 : 178,432.16 = 72,708.76 : x
  2. Step 2: Convert to fraction form
    129,297.88/178,432.16 = 72,708.76/x
  3. Step 3: Cross multiply
    129,297.88x = 178,432.16 × 72,708.76
  4. Step 4: Simplify right side
    129,297.88x = 12,973,581,097.72
  5. Step 5: Solve for x
    x = 12,973,581,097.72/129,297.88
  6. Step 6: Final answer
    x = 100,338.70

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1.5x scale

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.