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Finding the Fourth Proportional to 125,828.10, 188,414.10 and 81,213.30

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Solution

The fourth proportional to 125,828.10, 188,414.10 and 81,213.30 is: 121,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,828.10 : 188,414.10 = 81,213.30 : x
  2. Step 2: Convert to fraction form
    125,828.10/188,414.10 = 81,213.30/x
  3. Step 3: Cross multiply
    125,828.10x = 188,414.10 × 81,213.30
  4. Step 4: Simplify right side
    125,828.10x = 15,301,730,827.53
  5. Step 5: Solve for x
    x = 15,301,730,827.53/125,828.10
  6. Step 6: Final answer
    x = 121,608.22

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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.