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Finding the Fourth Proportional to 205,065.60, 307,042.56 and 106,362.24

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Solution

The fourth proportional to 205,065.60, 307,042.56 and 106,362.24 is: 159,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.60 : 307,042.56 = 106,362.24 : x
  2. Step 2: Convert to fraction form
    205,065.60/307,042.56 = 106,362.24/x
  3. Step 3: Cross multiply
    205,065.60x = 307,042.56 × 106,362.24
  4. Step 4: Simplify right side
    205,065.60x = 32,657,734,456.93
  5. Step 5: Solve for x
    x = 32,657,734,456.93/205,065.60
  6. Step 6: Final answer
    x = 159,255.06

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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.