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Finding the Fourth Proportional to 139,876.38, 193,026.80 and 77,790.68

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Solution

The fourth proportional to 139,876.38, 193,026.80 and 77,790.68 is: 107,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.38 : 193,026.80 = 77,790.68 : x
  2. Step 2: Convert to fraction form
    139,876.38/193,026.80 = 77,790.68/x
  3. Step 3: Cross multiply
    139,876.38x = 193,026.80 × 77,790.68
  4. Step 4: Simplify right side
    139,876.38x = 15,015,684,676.14
  5. Step 5: Solve for x
    x = 15,015,684,676.14/139,876.38
  6. Step 6: Final answer
    x = 107,349.68

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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.