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Finding the Fourth Proportional to 194,932.80, 292,399.20 and 84,124.80

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Solution

The fourth proportional to 194,932.80, 292,399.20 and 84,124.80 is: 126,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,932.80 : 292,399.20 = 84,124.80 : x
  2. Step 2: Convert to fraction form
    194,932.80/292,399.20 = 84,124.80/x
  3. Step 3: Cross multiply
    194,932.80x = 292,399.20 × 84,124.80
  4. Step 4: Simplify right side
    194,932.80x = 24,598,024,220.16
  5. Step 5: Solve for x
    x = 24,598,024,220.16/194,932.80
  6. Step 6: Final answer
    x = 126,187.20

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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.