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Finding the Fourth Proportional to 106,585.53, 158,951.87 and 105,155.46

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Solution

The fourth proportional to 106,585.53, 158,951.87 and 105,155.46 is: 156,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.53 : 158,951.87 = 105,155.46 : x
  2. Step 2: Convert to fraction form
    106,585.53/158,951.87 = 105,155.46/x
  3. Step 3: Cross multiply
    106,585.53x = 158,951.87 × 105,155.46
  4. Step 4: Simplify right side
    106,585.53x = 16,714,656,481.93
  5. Step 5: Solve for x
    x = 16,714,656,481.93/106,585.53
  6. Step 6: Final answer
    x = 156,819.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.