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Finding the Fourth Proportional to 217,149.15, 325,767.26 and 74,999.64

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Solution

The fourth proportional to 217,149.15, 325,767.26 and 74,999.64 is: 112,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,149.15 : 325,767.26 = 74,999.64 : x
  2. Step 2: Convert to fraction form
    217,149.15/325,767.26 = 74,999.64/x
  3. Step 3: Cross multiply
    217,149.15x = 325,767.26 × 74,999.64
  4. Step 4: Simplify right side
    217,149.15x = 24,432,427,223.79
  5. Step 5: Solve for x
    x = 24,432,427,223.79/217,149.15
  6. Step 6: Final answer
    x = 112,514.50

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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.