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Finding the Fourth Proportional to 257,801.60, 386,731.20 and 80,307.20

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Solution

The fourth proportional to 257,801.60, 386,731.20 and 80,307.20 is: 120,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.60 : 386,731.20 = 80,307.20 : x
  2. Step 2: Convert to fraction form
    257,801.60/386,731.20 = 80,307.20/x
  3. Step 3: Cross multiply
    257,801.60x = 386,731.20 × 80,307.20
  4. Step 4: Simplify right side
    257,801.60x = 31,057,299,824.64
  5. Step 5: Solve for x
    x = 31,057,299,824.64/257,801.60
  6. Step 6: Final answer
    x = 120,469.77

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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.