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Finding the Fourth Proportional to 160,049.97, 240,087.42 and 47,721.60

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Solution

The fourth proportional to 160,049.97, 240,087.42 and 47,721.60 is: 71,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,049.97 : 240,087.42 = 47,721.60 : x
  2. Step 2: Convert to fraction form
    160,049.97/240,087.42 = 47,721.60/x
  3. Step 3: Cross multiply
    160,049.97x = 240,087.42 × 47,721.60
  4. Step 4: Simplify right side
    160,049.97x = 11,457,355,822.27
  5. Step 5: Solve for x
    x = 11,457,355,822.27/160,049.97
  6. Step 6: Final answer
    x = 71,586.12

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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.