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Finding the Fourth Proportional to 106,833.60, 160,250.40 and 89,726.40

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Solution

The fourth proportional to 106,833.60, 160,250.40 and 89,726.40 is: 134,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,833.60 : 160,250.40 = 89,726.40 : x
  2. Step 2: Convert to fraction form
    106,833.60/160,250.40 = 89,726.40/x
  3. Step 3: Cross multiply
    106,833.60x = 160,250.40 × 89,726.40
  4. Step 4: Simplify right side
    106,833.60x = 14,378,691,490.56
  5. Step 5: Solve for x
    x = 14,378,691,490.56/106,833.60
  6. Step 6: Final answer
    x = 134,589.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.