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Finding the Fourth Proportional to 257,028.80, 385,543.20 and 166,827.20

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Solution

The fourth proportional to 257,028.80, 385,543.20 and 166,827.20 is: 250,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,028.80 : 385,543.20 = 166,827.20 : x
  2. Step 2: Convert to fraction form
    257,028.80/385,543.20 = 166,827.20/x
  3. Step 3: Cross multiply
    257,028.80x = 385,543.20 × 166,827.20
  4. Step 4: Simplify right side
    257,028.80x = 64,319,092,535.04
  5. Step 5: Solve for x
    x = 64,319,092,535.04/257,028.80
  6. Step 6: Final answer
    x = 250,240.80

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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.