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Finding the Fourth Proportional to 150,766.80, 225,955.80 and 71,710.80

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Solution

The fourth proportional to 150,766.80, 225,955.80 and 71,710.80 is: 107,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,766.80 : 225,955.80 = 71,710.80 : x
  2. Step 2: Convert to fraction form
    150,766.80/225,955.80 = 71,710.80/x
  3. Step 3: Cross multiply
    150,766.80x = 225,955.80 × 71,710.80
  4. Step 4: Simplify right side
    150,766.80x = 16,203,471,182.64
  5. Step 5: Solve for x
    x = 16,203,471,182.64/150,766.80
  6. Step 6: Final answer
    x = 107,473.74

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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.