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Finding the Fourth Proportional to 138,408.35, 191,003.52 and 74,746.15

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Solution

The fourth proportional to 138,408.35, 191,003.52 and 74,746.15 is: 103,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.35 : 191,003.52 = 74,746.15 : x
  2. Step 2: Convert to fraction form
    138,408.35/191,003.52 = 74,746.15/x
  3. Step 3: Cross multiply
    138,408.35x = 191,003.52 × 74,746.15
  4. Step 4: Simplify right side
    138,408.35x = 14,276,777,559.24
  5. Step 5: Solve for x
    x = 14,276,777,559.24/138,408.35
  6. Step 6: Final answer
    x = 103,149.69

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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.