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Finding the Fourth Proportional to 205,273.60, 307,618.80 and 142,871.20

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Solution

The fourth proportional to 205,273.60, 307,618.80 and 142,871.20 is: 214,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,273.60 : 307,618.80 = 142,871.20 : x
  2. Step 2: Convert to fraction form
    205,273.60/307,618.80 = 142,871.20/x
  3. Step 3: Cross multiply
    205,273.60x = 307,618.80 × 142,871.20
  4. Step 4: Simplify right side
    205,273.60x = 43,949,867,098.56
  5. Step 5: Solve for x
    x = 43,949,867,098.56/205,273.60
  6. Step 6: Final answer
    x = 214,103.85

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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.