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Finding the Fourth Proportional to 205,059.60, 307,033.56 and 106,356.24

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Solution

The fourth proportional to 205,059.60, 307,033.56 and 106,356.24 is: 159,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.60 : 307,033.56 = 106,356.24 : x
  2. Step 2: Convert to fraction form
    205,059.60/307,033.56 = 106,356.24/x
  3. Step 3: Cross multiply
    205,059.60x = 307,033.56 × 106,356.24
  4. Step 4: Simplify right side
    205,059.60x = 32,654,934,995.41
  5. Step 5: Solve for x
    x = 32,654,934,995.41/205,059.60
  6. Step 6: Final answer
    x = 159,246.07

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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.