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Finding the Fourth Proportional to 138,882.60, 191,655.72 and 75,219.84

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Solution

The fourth proportional to 138,882.60, 191,655.72 and 75,219.84 is: 103,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882.60 : 191,655.72 = 75,219.84 : x
  2. Step 2: Convert to fraction form
    138,882.60/191,655.72 = 75,219.84/x
  3. Step 3: Cross multiply
    138,882.60x = 191,655.72 × 75,219.84
  4. Step 4: Simplify right side
    138,882.60x = 14,416,312,593.48
  5. Step 5: Solve for x
    x = 14,416,312,593.48/138,882.60
  6. Step 6: Final answer
    x = 103,802.15

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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.