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Finding the Fourth Proportional to 205,532.40, 308,298.60 and 149,107.80

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Solution

The fourth proportional to 205,532.40, 308,298.60 and 149,107.80 is: 223,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532.40 : 308,298.60 = 149,107.80 : x
  2. Step 2: Convert to fraction form
    205,532.40/308,298.60 = 149,107.80/x
  3. Step 3: Cross multiply
    205,532.40x = 308,298.60 × 149,107.80
  4. Step 4: Simplify right side
    205,532.40x = 45,969,725,989.08
  5. Step 5: Solve for x
    x = 45,969,725,989.08/205,532.40
  6. Step 6: Final answer
    x = 223,661.70

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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.