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Finding the Fourth Proportional to 141,138.56, 194,763.94 and 83,780.30

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Solution

The fourth proportional to 141,138.56, 194,763.94 and 83,780.30 is: 115,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138.56 : 194,763.94 = 83,780.30 : x
  2. Step 2: Convert to fraction form
    141,138.56/194,763.94 = 83,780.30/x
  3. Step 3: Cross multiply
    141,138.56x = 194,763.94 × 83,780.30
  4. Step 4: Simplify right side
    141,138.56x = 16,317,381,322.38
  5. Step 5: Solve for x
    x = 16,317,381,322.38/141,138.56
  6. Step 6: Final answer
    x = 115,612.50

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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.