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Finding the Fourth Proportional to 144,593.68, 217,223.52 and 102,578.08

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Solution

The fourth proportional to 144,593.68, 217,223.52 and 102,578.08 is: 154,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,593.68 : 217,223.52 = 102,578.08 : x
  2. Step 2: Convert to fraction form
    144,593.68/217,223.52 = 102,578.08/x
  3. Step 3: Cross multiply
    144,593.68x = 217,223.52 × 102,578.08
  4. Step 4: Simplify right side
    144,593.68x = 22,282,371,612.44
  5. Step 5: Solve for x
    x = 22,282,371,612.44/144,593.68
  6. Step 6: Final answer
    x = 154,103.36

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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.