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Finding the Fourth Proportional to 141,013.60, 194,531.70 and 84,414.04

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Solution

The fourth proportional to 141,013.60, 194,531.70 and 84,414.04 is: 116,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013.60 : 194,531.70 = 84,414.04 : x
  2. Step 2: Convert to fraction form
    141,013.60/194,531.70 = 84,414.04/x
  3. Step 3: Cross multiply
    141,013.60x = 194,531.70 × 84,414.04
  4. Step 4: Simplify right side
    141,013.60x = 16,421,206,705.07
  5. Step 5: Solve for x
    x = 16,421,206,705.07/141,013.60
  6. Step 6: Final answer
    x = 116,451.23

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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.