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Finding the Fourth Proportional to 228,964.80, 343,447.20 and 195,139.20

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Solution

The fourth proportional to 228,964.80, 343,447.20 and 195,139.20 is: 292,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964.80 : 343,447.20 = 195,139.20 : x
  2. Step 2: Convert to fraction form
    228,964.80/343,447.20 = 195,139.20/x
  3. Step 3: Cross multiply
    228,964.80x = 343,447.20 × 195,139.20
  4. Step 4: Simplify right side
    228,964.80x = 67,020,011,850.24
  5. Step 5: Solve for x
    x = 67,020,011,850.24/228,964.80
  6. Step 6: Final answer
    x = 292,708.80

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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.