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Finding the Fourth Proportional to 204,023.90, 306,035.85 and 164,657.90

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Solution

The fourth proportional to 204,023.90, 306,035.85 and 164,657.90 is: 246,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023.90 : 306,035.85 = 164,657.90 : x
  2. Step 2: Convert to fraction form
    204,023.90/306,035.85 = 164,657.90/x
  3. Step 3: Cross multiply
    204,023.90x = 306,035.85 × 164,657.90
  4. Step 4: Simplify right side
    204,023.90x = 50,391,220,385.72
  5. Step 5: Solve for x
    x = 50,391,220,385.72/204,023.90
  6. Step 6: Final answer
    x = 246,986.85

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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.