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Finding the Fourth Proportional to 160,897.60, 222,081.76 and 100,431.84

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Solution

The fourth proportional to 160,897.60, 222,081.76 and 100,431.84 is: 138,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,897.60 : 222,081.76 = 100,431.84 : x
  2. Step 2: Convert to fraction form
    160,897.60/222,081.76 = 100,431.84/x
  3. Step 3: Cross multiply
    160,897.60x = 222,081.76 × 100,431.84
  4. Step 4: Simplify right side
    160,897.60x = 22,304,079,787.24
  5. Step 5: Solve for x
    x = 22,304,079,787.24/160,897.60
  6. Step 6: Final answer
    x = 138,622.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.