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Finding the Fourth Proportional to 117,110.76, 175,694.14 and 38,225.14

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Solution

The fourth proportional to 117,110.76, 175,694.14 and 38,225.14 is: 57,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,110.76 : 175,694.14 = 38,225.14 : x
  2. Step 2: Convert to fraction form
    117,110.76/175,694.14 = 38,225.14/x
  3. Step 3: Cross multiply
    117,110.76x = 175,694.14 × 38,225.14
  4. Step 4: Simplify right side
    117,110.76x = 6,715,933,098.68
  5. Step 5: Solve for x
    x = 6,715,933,098.68/117,110.76
  6. Step 6: Final answer
    x = 57,346.85

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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.