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Finding the Fourth Proportional to 139,875.38, 193,025.42 and 77,789.67

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Solution

The fourth proportional to 139,875.38, 193,025.42 and 77,789.67 is: 107,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,875.38 : 193,025.42 = 77,789.67 : x
  2. Step 2: Convert to fraction form
    139,875.38/193,025.42 = 77,789.67/x
  3. Step 3: Cross multiply
    139,875.38x = 193,025.42 × 77,789.67
  4. Step 4: Simplify right side
    139,875.38x = 15,015,384,014.43
  5. Step 5: Solve for x
    x = 15,015,384,014.43/139,875.38
  6. Step 6: Final answer
    x = 107,348.30

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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.