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Finding the Fourth Proportional to 104,734.32, 157,101.48 and 86,227.44

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Solution

The fourth proportional to 104,734.32, 157,101.48 and 86,227.44 is: 129,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,734.32 : 157,101.48 = 86,227.44 : x
  2. Step 2: Convert to fraction form
    104,734.32/157,101.48 = 86,227.44/x
  3. Step 3: Cross multiply
    104,734.32x = 157,101.48 × 86,227.44
  4. Step 4: Simplify right side
    104,734.32x = 13,546,458,440.61
  5. Step 5: Solve for x
    x = 13,546,458,440.61/104,734.32
  6. Step 6: Final answer
    x = 129,341.16

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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.