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Finding the Fourth Proportional to 205,042.60, 307,650.30 and 111,615.40

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Solution

The fourth proportional to 205,042.60, 307,650.30 and 111,615.40 is: 167,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.60 : 307,650.30 = 111,615.40 : x
  2. Step 2: Convert to fraction form
    205,042.60/307,650.30 = 111,615.40/x
  3. Step 3: Cross multiply
    205,042.60x = 307,650.30 × 111,615.40
  4. Step 4: Simplify right side
    205,042.60x = 34,338,511,294.62
  5. Step 5: Solve for x
    x = 34,338,511,294.62/205,042.60
  6. Step 6: Final answer
    x = 167,470.13

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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.