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Finding the Fourth Proportional to 194,942.80, 292,414.20 and 142,454.80

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Solution

The fourth proportional to 194,942.80, 292,414.20 and 142,454.80 is: 213,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,942.80 : 292,414.20 = 142,454.80 : x
  2. Step 2: Convert to fraction form
    194,942.80/292,414.20 = 142,454.80/x
  3. Step 3: Cross multiply
    194,942.80x = 292,414.20 × 142,454.80
  4. Step 4: Simplify right side
    194,942.80x = 41,655,806,378.16
  5. Step 5: Solve for x
    x = 41,655,806,378.16/194,942.80
  6. Step 6: Final answer
    x = 213,682.20

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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.