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Finding the Fourth Proportional to 147,540.30, 221,310.45 and 100,301.10

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Solution

The fourth proportional to 147,540.30, 221,310.45 and 100,301.10 is: 150,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,540.30 : 221,310.45 = 100,301.10 : x
  2. Step 2: Convert to fraction form
    147,540.30/221,310.45 = 100,301.10/x
  3. Step 3: Cross multiply
    147,540.30x = 221,310.45 × 100,301.10
  4. Step 4: Simplify right side
    147,540.30x = 22,197,681,576.50
  5. Step 5: Solve for x
    x = 22,197,681,576.50/147,540.30
  6. Step 6: Final answer
    x = 150,451.65

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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.