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Finding the Fourth Proportional to 205,818.60, 308,727.90 and 100,842.60

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Solution

The fourth proportional to 205,818.60, 308,727.90 and 100,842.60 is: 151,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,818.60 : 308,727.90 = 100,842.60 : x
  2. Step 2: Convert to fraction form
    205,818.60/308,727.90 = 100,842.60/x
  3. Step 3: Cross multiply
    205,818.60x = 308,727.90 × 100,842.60
  4. Step 4: Simplify right side
    205,818.60x = 31,132,924,128.54
  5. Step 5: Solve for x
    x = 31,132,924,128.54/205,818.60
  6. Step 6: Final answer
    x = 151,263.90

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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.