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Finding the Fourth Proportional to 205,121.60, 307,714.08 and 86,793.60

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Solution

The fourth proportional to 205,121.60, 307,714.08 and 86,793.60 is: 130,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121.60 : 307,714.08 = 86,793.60 : x
  2. Step 2: Convert to fraction form
    205,121.60/307,714.08 = 86,793.60/x
  3. Step 3: Cross multiply
    205,121.60x = 307,714.08 × 86,793.60
  4. Step 4: Simplify right side
    205,121.60x = 26,707,612,773.89
  5. Step 5: Solve for x
    x = 26,707,612,773.89/205,121.60
  6. Step 6: Final answer
    x = 130,203.80

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1.5x scale

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.