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Finding the Fourth Proportional to 204,498.70, 306,925.27 and 204,025.86

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Solution

The fourth proportional to 204,498.70, 306,925.27 and 204,025.86 is: 306,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498.70 : 306,925.27 = 204,025.86 : x
  2. Step 2: Convert to fraction form
    204,498.70/306,925.27 = 204,025.86/x
  3. Step 3: Cross multiply
    204,498.70x = 306,925.27 × 204,025.86
  4. Step 4: Simplify right side
    204,498.70x = 62,620,692,167.48
  5. Step 5: Solve for x
    x = 62,620,692,167.48/204,498.70
  6. Step 6: Final answer
    x = 306,215.60

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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.