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Finding the Fourth Proportional to 102,375.76, 141,221.52 and 59,926.12

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Solution

The fourth proportional to 102,375.76, 141,221.52 and 59,926.12 is: 82,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375.76 : 141,221.52 = 59,926.12 : x
  2. Step 2: Convert to fraction form
    102,375.76/141,221.52 = 59,926.12/x
  3. Step 3: Cross multiply
    102,375.76x = 141,221.52 × 59,926.12
  4. Step 4: Simplify right side
    102,375.76x = 8,462,857,754.10
  5. Step 5: Solve for x
    x = 8,462,857,754.10/102,375.76
  6. Step 6: Final answer
    x = 82,664.66

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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.