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Finding the Fourth Proportional to 144,920.10, 217,380.15 and 102,929.70

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Solution

The fourth proportional to 144,920.10, 217,380.15 and 102,929.70 is: 154,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920.10 : 217,380.15 = 102,929.70 : x
  2. Step 2: Convert to fraction form
    144,920.10/217,380.15 = 102,929.70/x
  3. Step 3: Cross multiply
    144,920.10x = 217,380.15 × 102,929.70
  4. Step 4: Simplify right side
    144,920.10x = 22,374,873,625.46
  5. Step 5: Solve for x
    x = 22,374,873,625.46/144,920.10
  6. Step 6: Final answer
    x = 154,394.55

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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.