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Finding the Fourth Proportional to 205,890.60, 308,231.10 and 153,532.20

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Solution

The fourth proportional to 205,890.60, 308,231.10 and 153,532.20 is: 229,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,890.60 : 308,231.10 = 153,532.20 : x
  2. Step 2: Convert to fraction form
    205,890.60/308,231.10 = 153,532.20/x
  3. Step 3: Cross multiply
    205,890.60x = 308,231.10 × 153,532.20
  4. Step 4: Simplify right side
    205,890.60x = 47,323,398,891.42
  5. Step 5: Solve for x
    x = 47,323,398,891.42/205,890.60
  6. Step 6: Final answer
    x = 229,847.30

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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.