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Finding the Fourth Proportional to 122,572.20, 184,031.10 and 75,916.20

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Solution

The fourth proportional to 122,572.20, 184,031.10 and 75,916.20 is: 113,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,572.20 : 184,031.10 = 75,916.20 : x
  2. Step 2: Convert to fraction form
    122,572.20/184,031.10 = 75,916.20/x
  3. Step 3: Cross multiply
    122,572.20x = 184,031.10 × 75,916.20
  4. Step 4: Simplify right side
    122,572.20x = 13,970,941,793.82
  5. Step 5: Solve for x
    x = 13,970,941,793.82/122,572.20
  6. Step 6: Final answer
    x = 113,981.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.