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Finding the Fourth Proportional to 278,641.80, 384,586.92 and 183,157.38

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Solution

The fourth proportional to 278,641.80, 384,586.92 and 183,157.38 is: 252,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.80 : 384,586.92 = 183,157.38 : x
  2. Step 2: Convert to fraction form
    278,641.80/384,586.92 = 183,157.38/x
  3. Step 3: Cross multiply
    278,641.80x = 384,586.92 × 183,157.38
  4. Step 4: Simplify right side
    278,641.80x = 70,439,932,649.47
  5. Step 5: Solve for x
    x = 70,439,932,649.47/278,641.80
  6. Step 6: Final answer
    x = 252,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.