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Finding the Fourth Proportional to 129,618, 194,502.60 and 54,733.68

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Solution

The fourth proportional to 129,618, 194,502.60 and 54,733.68 is: 82,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,618 : 194,502.60 = 54,733.68 : x
  2. Step 2: Convert to fraction form
    129,618/194,502.60 = 54,733.68/x
  3. Step 3: Cross multiply
    129,618x = 194,502.60 × 54,733.68
  4. Step 4: Simplify right side
    129,618x = 10,645,843,067.57
  5. Step 5: Solve for x
    x = 10,645,843,067.57/129,618
  6. Step 6: Final answer
    x = 82,132.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.