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Finding the Fourth Proportional to 160,472.22, 221,433.78 and 88,834.30

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Solution

The fourth proportional to 160,472.22, 221,433.78 and 88,834.30 is: 122,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,472.22 : 221,433.78 = 88,834.30 : x
  2. Step 2: Convert to fraction form
    160,472.22/221,433.78 = 88,834.30/x
  3. Step 3: Cross multiply
    160,472.22x = 221,433.78 × 88,834.30
  4. Step 4: Simplify right side
    160,472.22x = 19,670,914,842.65
  5. Step 5: Solve for x
    x = 19,670,914,842.65/160,472.22
  6. Step 6: Final answer
    x = 122,581.43

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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.