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Finding the Fourth Proportional to 209,340.48, 288,858.24 and 128,781.12

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Solution

The fourth proportional to 209,340.48, 288,858.24 and 128,781.12 is: 177,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,340.48 : 288,858.24 = 128,781.12 : x
  2. Step 2: Convert to fraction form
    209,340.48/288,858.24 = 128,781.12/x
  3. Step 3: Cross multiply
    209,340.48x = 288,858.24 × 128,781.12
  4. Step 4: Simplify right side
    209,340.48x = 37,199,487,668.43
  5. Step 5: Solve for x
    x = 37,199,487,668.43/209,340.48
  6. Step 6: Final answer
    x = 177,698.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.