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Finding the Fourth Proportional to 189,141.68, 261,013.85 and 103,100.69

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Solution

The fourth proportional to 189,141.68, 261,013.85 and 103,100.69 is: 142,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,141.68 : 261,013.85 = 103,100.69 : x
  2. Step 2: Convert to fraction form
    189,141.68/261,013.85 = 103,100.69/x
  3. Step 3: Cross multiply
    189,141.68x = 261,013.85 × 103,100.69
  4. Step 4: Simplify right side
    189,141.68x = 26,910,706,213.98
  5. Step 5: Solve for x
    x = 26,910,706,213.98/189,141.68
  6. Step 6: Final answer
    x = 142,278.04

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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.