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Finding the Fourth Proportional to 217,103.32, 325,094.14 and 149,842.92

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Solution

The fourth proportional to 217,103.32, 325,094.14 and 149,842.92 is: 224,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,103.32 : 325,094.14 = 149,842.92 : x
  2. Step 2: Convert to fraction form
    217,103.32/325,094.14 = 149,842.92/x
  3. Step 3: Cross multiply
    217,103.32x = 325,094.14 × 149,842.92
  4. Step 4: Simplify right side
    217,103.32x = 48,713,055,212.49
  5. Step 5: Solve for x
    x = 48,713,055,212.49/217,103.32
  6. Step 6: Final answer
    x = 224,377.29

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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.