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Finding the Fourth Proportional to 195,077.79, 292,616.69 and 54,836.42

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Solution

The fourth proportional to 195,077.79, 292,616.69 and 54,836.42 is: 82,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,077.79 : 292,616.69 = 54,836.42 : x
  2. Step 2: Convert to fraction form
    195,077.79/292,616.69 = 54,836.42/x
  3. Step 3: Cross multiply
    195,077.79x = 292,616.69 × 54,836.42
  4. Step 4: Simplify right side
    195,077.79x = 16,046,051,711.85
  5. Step 5: Solve for x
    x = 16,046,051,711.85/195,077.79
  6. Step 6: Final answer
    x = 82,254.63

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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.