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Finding the Fourth Proportional to 205,425.60, 308,224.80 and 111,998.40

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Solution

The fourth proportional to 205,425.60, 308,224.80 and 111,998.40 is: 168,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.60 : 308,224.80 = 111,998.40 : x
  2. Step 2: Convert to fraction form
    205,425.60/308,224.80 = 111,998.40/x
  3. Step 3: Cross multiply
    205,425.60x = 308,224.80 × 111,998.40
  4. Step 4: Simplify right side
    205,425.60x = 34,520,684,440.32
  5. Step 5: Solve for x
    x = 34,520,684,440.32/205,425.60
  6. Step 6: Final answer
    x = 168,044.71

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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.