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Finding the Fourth Proportional to 189,141.89, 261,012.15 and 103,101.66

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Solution

The fourth proportional to 189,141.89, 261,012.15 and 103,101.66 is: 142,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,141.89 : 261,012.15 = 103,101.66 : x
  2. Step 2: Convert to fraction form
    189,141.89/261,012.15 = 103,101.66/x
  3. Step 3: Cross multiply
    189,141.89x = 261,012.15 × 103,101.66
  4. Step 4: Simplify right side
    189,141.89x = 26,910,785,945.17
  5. Step 5: Solve for x
    x = 26,910,785,945.17/189,141.89
  6. Step 6: Final answer
    x = 142,278.30

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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.