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Finding the Fourth Proportional to 216,002.40, 323,744.40 and 110,767.20

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Solution

The fourth proportional to 216,002.40, 323,744.40 and 110,767.20 is: 166,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002.40 : 323,744.40 = 110,767.20 : x
  2. Step 2: Convert to fraction form
    216,002.40/323,744.40 = 110,767.20/x
  3. Step 3: Cross multiply
    216,002.40x = 323,744.40 × 110,767.20
  4. Step 4: Simplify right side
    216,002.40x = 35,860,260,703.68
  5. Step 5: Solve for x
    x = 35,860,260,703.68/216,002.40
  6. Step 6: Final answer
    x = 166,017.88

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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.