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Finding the Fourth Proportional to 159,644.26, 220,319 and 88,024.17

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Solution

The fourth proportional to 159,644.26, 220,319 and 88,024.17 is: 121,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,644.26 : 220,319 = 88,024.17 : x
  2. Step 2: Convert to fraction form
    159,644.26/220,319 = 88,024.17/x
  3. Step 3: Cross multiply
    159,644.26x = 220,319 × 88,024.17
  4. Step 4: Simplify right side
    159,644.26x = 19,393,397,110.23
  5. Step 5: Solve for x
    x = 19,393,397,110.23/159,644.26
  6. Step 6: Final answer
    x = 121,478.82

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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.