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Finding the Fourth Proportional to 160,104.74, 221,046.43 and 99,764.04

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Solution

The fourth proportional to 160,104.74, 221,046.43 and 99,764.04 is: 137,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,104.74 : 221,046.43 = 99,764.04 : x
  2. Step 2: Convert to fraction form
    160,104.74/221,046.43 = 99,764.04/x
  3. Step 3: Cross multiply
    160,104.74x = 221,046.43 × 99,764.04
  4. Step 4: Simplify right side
    160,104.74x = 22,052,484,884.38
  5. Step 5: Solve for x
    x = 22,052,484,884.38/160,104.74
  6. Step 6: Final answer
    x = 137,737.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.