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Finding the Fourth Proportional to 235,642.43, 353,410.38 and 67,159.14

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Solution

The fourth proportional to 235,642.43, 353,410.38 and 67,159.14 is: 100,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,642.43 : 353,410.38 = 67,159.14 : x
  2. Step 2: Convert to fraction form
    235,642.43/353,410.38 = 67,159.14/x
  3. Step 3: Cross multiply
    235,642.43x = 353,410.38 × 67,159.14
  4. Step 4: Simplify right side
    235,642.43x = 23,734,737,187.87
  5. Step 5: Solve for x
    x = 23,734,737,187.87/235,642.43
  6. Step 6: Final answer
    x = 100,723.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.