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Finding the Fourth Proportional to 138,842.46, 191,602.31 and 75,180.44

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Solution

The fourth proportional to 138,842.46, 191,602.31 and 75,180.44 is: 103,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,842.46 : 191,602.31 = 75,180.44 : x
  2. Step 2: Convert to fraction form
    138,842.46/191,602.31 = 75,180.44/x
  3. Step 3: Cross multiply
    138,842.46x = 191,602.31 × 75,180.44
  4. Step 4: Simplify right side
    138,842.46x = 14,404,744,636.90
  5. Step 5: Solve for x
    x = 14,404,744,636.90/138,842.46
  6. Step 6: Final answer
    x = 103,748.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.