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Finding the Fourth Proportional to 129,498.60, 194,034.04 and 59,223

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Solution

The fourth proportional to 129,498.60, 194,034.04 and 59,223 is: 88,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,498.60 : 194,034.04 = 59,223 : x
  2. Step 2: Convert to fraction form
    129,498.60/194,034.04 = 59,223/x
  3. Step 3: Cross multiply
    129,498.60x = 194,034.04 × 59,223
  4. Step 4: Simplify right side
    129,498.60x = 11,491,277,950.92
  5. Step 5: Solve for x
    x = 11,491,277,950.92/129,498.60
  6. Step 6: Final answer
    x = 88,736.70

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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.