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Finding the Fourth Proportional to 204,659.72, 306,982.64 and 62,499.24

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Solution

The fourth proportional to 204,659.72, 306,982.64 and 62,499.24 is: 93,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.72 : 306,982.64 = 62,499.24 : x
  2. Step 2: Convert to fraction form
    204,659.72/306,982.64 = 62,499.24/x
  3. Step 3: Cross multiply
    204,659.72x = 306,982.64 × 62,499.24
  4. Step 4: Simplify right side
    204,659.72x = 19,186,181,380.70
  5. Step 5: Solve for x
    x = 19,186,181,380.70/204,659.72
  6. Step 6: Final answer
    x = 93,746.74

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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.