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Finding the Fourth Proportional to 160,833.12, 221,951.52 and 89,215.20

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Solution

The fourth proportional to 160,833.12, 221,951.52 and 89,215.20 is: 123,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,833.12 : 221,951.52 = 89,215.20 : x
  2. Step 2: Convert to fraction form
    160,833.12/221,951.52 = 89,215.20/x
  3. Step 3: Cross multiply
    160,833.12x = 221,951.52 × 89,215.20
  4. Step 4: Simplify right side
    160,833.12x = 19,801,449,247.10
  5. Step 5: Solve for x
    x = 19,801,449,247.10/160,833.12
  6. Step 6: Final answer
    x = 123,117.98

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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.