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Finding the Fourth Proportional to 160,761.78, 221,850.36 and 89,152.38

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Solution

The fourth proportional to 160,761.78, 221,850.36 and 89,152.38 is: 123,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,761.78 : 221,850.36 = 89,152.38 : x
  2. Step 2: Convert to fraction form
    160,761.78/221,850.36 = 89,152.38/x
  3. Step 3: Cross multiply
    160,761.78x = 221,850.36 × 89,152.38
  4. Step 4: Simplify right side
    160,761.78x = 19,778,487,597.86
  5. Step 5: Solve for x
    x = 19,778,487,597.86/160,761.78
  6. Step 6: Final answer
    x = 123,029.79

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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.