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Finding the Fourth Proportional to 256,829.60, 385,273.20 and 79,335.20

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Solution

The fourth proportional to 256,829.60, 385,273.20 and 79,335.20 is: 119,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.60 : 385,273.20 = 79,335.20 : x
  2. Step 2: Convert to fraction form
    256,829.60/385,273.20 = 79,335.20/x
  3. Step 3: Cross multiply
    256,829.60x = 385,273.20 × 79,335.20
  4. Step 4: Simplify right side
    256,829.60x = 30,565,726,376.64
  5. Step 5: Solve for x
    x = 30,565,726,376.64/256,829.60
  6. Step 6: Final answer
    x = 119,011.70

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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.