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Finding the Fourth Proportional to 165,082.10, 247,623.15 and 40,423.10

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Solution

The fourth proportional to 165,082.10, 247,623.15 and 40,423.10 is: 60,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,082.10 : 247,623.15 = 40,423.10 : x
  2. Step 2: Convert to fraction form
    165,082.10/247,623.15 = 40,423.10/x
  3. Step 3: Cross multiply
    165,082.10x = 247,623.15 × 40,423.10
  4. Step 4: Simplify right side
    165,082.10x = 10,009,695,354.77
  5. Step 5: Solve for x
    x = 10,009,695,354.77/165,082.10
  6. Step 6: Final answer
    x = 60,634.65

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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.