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Finding the Fourth Proportional to 138,874.86, 191,651.23 and 78,448.05

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Solution

The fourth proportional to 138,874.86, 191,651.23 and 78,448.05 is: 108,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.86 : 191,651.23 = 78,448.05 : x
  2. Step 2: Convert to fraction form
    138,874.86/191,651.23 = 78,448.05/x
  3. Step 3: Cross multiply
    138,874.86x = 191,651.23 × 78,448.05
  4. Step 4: Simplify right side
    138,874.86x = 15,034,664,315.35
  5. Step 5: Solve for x
    x = 15,034,664,315.35/138,874.86
  6. Step 6: Final answer
    x = 108,260.52

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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.