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Finding the Fourth Proportional to 205,339.20, 308,008.80 and 116,865.60

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Solution

The fourth proportional to 205,339.20, 308,008.80 and 116,865.60 is: 175,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,339.20 : 308,008.80 = 116,865.60 : x
  2. Step 2: Convert to fraction form
    205,339.20/308,008.80 = 116,865.60/x
  3. Step 3: Cross multiply
    205,339.20x = 308,008.80 × 116,865.60
  4. Step 4: Simplify right side
    205,339.20x = 35,995,633,217.28
  5. Step 5: Solve for x
    x = 35,995,633,217.28/205,339.20
  6. Step 6: Final answer
    x = 175,298.40

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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.