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Finding the Fourth Proportional to 160,706.38, 221,759.89 and 89,080.31

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Solution

The fourth proportional to 160,706.38, 221,759.89 and 89,080.31 is: 122,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,706.38 : 221,759.89 = 89,080.31 : x
  2. Step 2: Convert to fraction form
    160,706.38/221,759.89 = 89,080.31/x
  3. Step 3: Cross multiply
    160,706.38x = 221,759.89 × 89,080.31
  4. Step 4: Simplify right side
    160,706.38x = 19,754,438,192.56
  5. Step 5: Solve for x
    x = 19,754,438,192.56/160,706.38
  6. Step 6: Final answer
    x = 122,922.55

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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.