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Finding the Fourth Proportional to 147,842.30, 221,508.30 and 68,794.40

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Solution

The fourth proportional to 147,842.30, 221,508.30 and 68,794.40 is: 103,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,842.30 : 221,508.30 = 68,794.40 : x
  2. Step 2: Convert to fraction form
    147,842.30/221,508.30 = 68,794.40/x
  3. Step 3: Cross multiply
    147,842.30x = 221,508.30 × 68,794.40
  4. Step 4: Simplify right side
    147,842.30x = 15,238,530,593.52
  5. Step 5: Solve for x
    x = 15,238,530,593.52/147,842.30
  6. Step 6: Final answer
    x = 103,072.87

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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.