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Finding the Fourth Proportional to 109,490.85, 151,097.31 and 59,189.85

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Solution

The fourth proportional to 109,490.85, 151,097.31 and 59,189.85 is: 81,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,490.85 : 151,097.31 = 59,189.85 : x
  2. Step 2: Convert to fraction form
    109,490.85/151,097.31 = 59,189.85/x
  3. Step 3: Cross multiply
    109,490.85x = 151,097.31 × 59,189.85
  4. Step 4: Simplify right side
    109,490.85x = 8,943,427,114.30
  5. Step 5: Solve for x
    x = 8,943,427,114.30/109,490.85
  6. Step 6: Final answer
    x = 81,681.96

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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.