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Finding the Fourth Proportional to 209,149.68, 288,480.62 and 137,506.80

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Solution

The fourth proportional to 209,149.68, 288,480.62 and 137,506.80 is: 189,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,149.68 : 288,480.62 = 137,506.80 : x
  2. Step 2: Convert to fraction form
    209,149.68/288,480.62 = 137,506.80/x
  3. Step 3: Cross multiply
    209,149.68x = 288,480.62 × 137,506.80
  4. Step 4: Simplify right side
    209,149.68x = 39,668,046,918.22
  5. Step 5: Solve for x
    x = 39,668,046,918.22/209,149.68
  6. Step 6: Final answer
    x = 189,663.44

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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.