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Finding the Fourth Proportional to 205,572.30, 308,358.45 and 116,998.80

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Solution

The fourth proportional to 205,572.30, 308,358.45 and 116,998.80 is: 175,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,572.30 : 308,358.45 = 116,998.80 : x
  2. Step 2: Convert to fraction form
    205,572.30/308,358.45 = 116,998.80/x
  3. Step 3: Cross multiply
    205,572.30x = 308,358.45 × 116,998.80
  4. Step 4: Simplify right side
    205,572.30x = 36,077,568,619.86
  5. Step 5: Solve for x
    x = 36,077,568,619.86/205,572.30
  6. Step 6: Final answer
    x = 175,498.20

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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.