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Finding the Fourth Proportional to 102,815.95, 153,797.41 and 96,517.39

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Solution

The fourth proportional to 102,815.95, 153,797.41 and 96,517.39 is: 144,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,815.95 : 153,797.41 = 96,517.39 : x
  2. Step 2: Convert to fraction form
    102,815.95/153,797.41 = 96,517.39/x
  3. Step 3: Cross multiply
    102,815.95x = 153,797.41 × 96,517.39
  4. Step 4: Simplify right side
    102,815.95x = 14,844,124,601.96
  5. Step 5: Solve for x
    x = 14,844,124,601.96/102,815.95
  6. Step 6: Final answer
    x = 144,375.70

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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.