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Finding the Fourth Proportional to 209,209.56, 288,872.12 and 128,674.52

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Solution

The fourth proportional to 209,209.56, 288,872.12 and 128,674.52 is: 177,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,209.56 : 288,872.12 = 128,674.52 : x
  2. Step 2: Convert to fraction form
    209,209.56/288,872.12 = 128,674.52/x
  3. Step 3: Cross multiply
    209,209.56x = 288,872.12 × 128,674.52
  4. Step 4: Simplify right side
    209,209.56x = 37,170,481,382.38
  5. Step 5: Solve for x
    x = 37,170,481,382.38/209,209.56
  6. Step 6: Final answer
    x = 177,671.05

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Why These Related Problems?

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