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Finding the Fourth Proportional to 139,964.71, 193,145.55 and 78,709.15

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Solution

The fourth proportional to 139,964.71, 193,145.55 and 78,709.15 is: 108,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,964.71 : 193,145.55 = 78,709.15 : x
  2. Step 2: Convert to fraction form
    139,964.71/193,145.55 = 78,709.15/x
  3. Step 3: Cross multiply
    139,964.71x = 193,145.55 × 78,709.15
  4. Step 4: Simplify right side
    139,964.71x = 15,202,321,583.92
  5. Step 5: Solve for x
    x = 15,202,321,583.92/139,964.71
  6. Step 6: Final answer
    x = 108,615.39

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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.