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Finding the Fourth Proportional to 160,282.98, 240,358.89 and 71,475.78

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Solution

The fourth proportional to 160,282.98, 240,358.89 and 71,475.78 is: 107,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,282.98 : 240,358.89 = 71,475.78 : x
  2. Step 2: Convert to fraction form
    160,282.98/240,358.89 = 71,475.78/x
  3. Step 3: Cross multiply
    160,282.98x = 240,358.89 × 71,475.78
  4. Step 4: Simplify right side
    160,282.98x = 17,179,839,142.68
  5. Step 5: Solve for x
    x = 17,179,839,142.68/160,282.98
  6. Step 6: Final answer
    x = 107,184.43

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1.5x scale

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.