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Finding the Fourth Proportional to 160,042.86, 220,840.32 and 88,418.61

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Solution

The fourth proportional to 160,042.86, 220,840.32 and 88,418.61 is: 122,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,042.86 : 220,840.32 = 88,418.61 : x
  2. Step 2: Convert to fraction form
    160,042.86/220,840.32 = 88,418.61/x
  3. Step 3: Cross multiply
    160,042.86x = 220,840.32 × 88,418.61
  4. Step 4: Simplify right side
    160,042.86x = 19,526,394,126.36
  5. Step 5: Solve for x
    x = 19,526,394,126.36/160,042.86
  6. Step 6: Final answer
    x = 122,007.28

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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.