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Finding the Fourth Proportional to 149,047.56, 205,817.22 and 101,414.70

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Solution

The fourth proportional to 149,047.56, 205,817.22 and 101,414.70 is: 140,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,047.56 : 205,817.22 = 101,414.70 : x
  2. Step 2: Convert to fraction form
    149,047.56/205,817.22 = 101,414.70/x
  3. Step 3: Cross multiply
    149,047.56x = 205,817.22 × 101,414.70
  4. Step 4: Simplify right side
    149,047.56x = 20,872,891,621.13
  5. Step 5: Solve for x
    x = 20,872,891,621.13/149,047.56
  6. Step 6: Final answer
    x = 140,041.82

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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.