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Finding the Fourth Proportional to 160,841.38, 221,815.77 and 100,417.54

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Solution

The fourth proportional to 160,841.38, 221,815.77 and 100,417.54 is: 138,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,841.38 : 221,815.77 = 100,417.54 : x
  2. Step 2: Convert to fraction form
    160,841.38/221,815.77 = 100,417.54/x
  3. Step 3: Cross multiply
    160,841.38x = 221,815.77 × 100,417.54
  4. Step 4: Simplify right side
    160,841.38x = 22,274,193,956.61
  5. Step 5: Solve for x
    x = 22,274,193,956.61/160,841.38
  6. Step 6: Final answer
    x = 138,485.47

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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.