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Finding the Fourth Proportional to 154,169.60, 212,763.92 and 86,186.86

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Solution

The fourth proportional to 154,169.60, 212,763.92 and 86,186.86 is: 118,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,169.60 : 212,763.92 = 86,186.86 : x
  2. Step 2: Convert to fraction form
    154,169.60/212,763.92 = 86,186.86/x
  3. Step 3: Cross multiply
    154,169.60x = 212,763.92 × 86,186.86
  4. Step 4: Simplify right side
    154,169.60x = 18,337,454,401.56
  5. Step 5: Solve for x
    x = 18,337,454,401.56/154,169.60
  6. Step 6: Final answer
    x = 118,943.39

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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.