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Finding the Fourth Proportional to 258,441.12, 387,662.28 and 80,963.64

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Solution

The fourth proportional to 258,441.12, 387,662.28 and 80,963.64 is: 121,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,441.12 : 387,662.28 = 80,963.64 : x
  2. Step 2: Convert to fraction form
    258,441.12/387,662.28 = 80,963.64/x
  3. Step 3: Cross multiply
    258,441.12x = 387,662.28 × 80,963.64
  4. Step 4: Simplify right side
    258,441.12x = 31,386,549,279.50
  5. Step 5: Solve for x
    x = 31,386,549,279.50/258,441.12
  6. Step 6: Final answer
    x = 121,445.65

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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.