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Finding the Fourth Proportional to 195,043.72, 292,514.56 and 54,769.56

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Solution

The fourth proportional to 195,043.72, 292,514.56 and 54,769.56 is: 82,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,043.72 : 292,514.56 = 54,769.56 : x
  2. Step 2: Convert to fraction form
    195,043.72/292,514.56 = 54,769.56/x
  3. Step 3: Cross multiply
    195,043.72x = 292,514.56 × 54,769.56
  4. Step 4: Simplify right side
    195,043.72x = 16,020,893,744.79
  5. Step 5: Solve for x
    x = 16,020,893,744.79/195,043.72
  6. Step 6: Final answer
    x = 82,140.01

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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.