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Finding the Fourth Proportional to 205,079.20, 307,388.40 and 105,200.80

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Solution

The fourth proportional to 205,079.20, 307,388.40 and 105,200.80 is: 157,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,079.20 : 307,388.40 = 105,200.80 : x
  2. Step 2: Convert to fraction form
    205,079.20/307,388.40 = 105,200.80/x
  3. Step 3: Cross multiply
    205,079.20x = 307,388.40 × 105,200.80
  4. Step 4: Simplify right side
    205,079.20x = 32,337,505,590.72
  5. Step 5: Solve for x
    x = 32,337,505,590.72/205,079.20
  6. Step 6: Final answer
    x = 157,683.01

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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.