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Finding the Fourth Proportional to 160,125, 240,229.08 and 47,805.24

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Solution

The fourth proportional to 160,125, 240,229.08 and 47,805.24 is: 71,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,125 : 240,229.08 = 47,805.24 : x
  2. Step 2: Convert to fraction form
    160,125/240,229.08 = 47,805.24/x
  3. Step 3: Cross multiply
    160,125x = 240,229.08 × 47,805.24
  4. Step 4: Simplify right side
    160,125x = 11,484,208,824.38
  5. Step 5: Solve for x
    x = 11,484,208,824.38/160,125
  6. Step 6: Final answer
    x = 71,720.27

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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.