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Finding the Fourth Proportional to 125,908.78, 188,863.20 and 42,802.78

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Solution

The fourth proportional to 125,908.78, 188,863.20 and 42,802.78 is: 64,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,908.78 : 188,863.20 = 42,802.78 : x
  2. Step 2: Convert to fraction form
    125,908.78/188,863.20 = 42,802.78/x
  3. Step 3: Cross multiply
    125,908.78x = 188,863.20 × 42,802.78
  4. Step 4: Simplify right side
    125,908.78x = 8,083,869,999.70
  5. Step 5: Solve for x
    x = 8,083,869,999.70/125,908.78
  6. Step 6: Final answer
    x = 64,204.18

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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.