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Finding the Fourth Proportional to 109,715.01, 151,405.84 and 59,414.01

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Solution

The fourth proportional to 109,715.01, 151,405.84 and 59,414.01 is: 81,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,715.01 : 151,405.84 = 59,414.01 : x
  2. Step 2: Convert to fraction form
    109,715.01/151,405.84 = 59,414.01/x
  3. Step 3: Cross multiply
    109,715.01x = 151,405.84 × 59,414.01
  4. Step 4: Simplify right side
    109,715.01x = 8,995,627,794.75
  5. Step 5: Solve for x
    x = 8,995,627,794.75/109,715.01
  6. Step 6: Final answer
    x = 81,990.86

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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.