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Finding the Fourth Proportional to 205,249.60, 307,582.80 and 142,847.20

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Solution

The fourth proportional to 205,249.60, 307,582.80 and 142,847.20 is: 214,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,249.60 : 307,582.80 = 142,847.20 : x
  2. Step 2: Convert to fraction form
    205,249.60/307,582.80 = 142,847.20/x
  3. Step 3: Cross multiply
    205,249.60x = 307,582.80 × 142,847.20
  4. Step 4: Simplify right side
    205,249.60x = 43,937,341,748.16
  5. Step 5: Solve for x
    x = 43,937,341,748.16/205,249.60
  6. Step 6: Final answer
    x = 214,067.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.