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Finding the Fourth Proportional to 186,473.88, 257,334.12 and 101,591.10

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Solution

The fourth proportional to 186,473.88, 257,334.12 and 101,591.10 is: 140,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,473.88 : 257,334.12 = 101,591.10 : x
  2. Step 2: Convert to fraction form
    186,473.88/257,334.12 = 101,591.10/x
  3. Step 3: Cross multiply
    186,473.88x = 257,334.12 × 101,591.10
  4. Step 4: Simplify right side
    186,473.88x = 26,142,856,318.33
  5. Step 5: Solve for x
    x = 26,142,856,318.33/186,473.88
  6. Step 6: Final answer
    x = 140,195.81

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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.