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Finding the Fourth Proportional to 185,042.68, 255,365.16 and 113,408.90

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Solution

The fourth proportional to 185,042.68, 255,365.16 and 113,408.90 is: 156,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,042.68 : 255,365.16 = 113,408.90 : x
  2. Step 2: Convert to fraction form
    185,042.68/255,365.16 = 113,408.90/x
  3. Step 3: Cross multiply
    185,042.68x = 255,365.16 × 113,408.90
  4. Step 4: Simplify right side
    185,042.68x = 28,960,681,893.92
  5. Step 5: Solve for x
    x = 28,960,681,893.92/185,042.68
  6. Step 6: Final answer
    x = 156,508.12

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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.