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Finding the Fourth Proportional to 207,288.80, 310,414.80 and 165,816.80

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Solution

The fourth proportional to 207,288.80, 310,414.80 and 165,816.80 is: 248,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,288.80 : 310,414.80 = 165,816.80 : x
  2. Step 2: Convert to fraction form
    207,288.80/310,414.80 = 165,816.80/x
  3. Step 3: Cross multiply
    207,288.80x = 310,414.80 × 165,816.80
  4. Step 4: Simplify right side
    207,288.80x = 51,471,988,808.64
  5. Step 5: Solve for x
    x = 51,471,988,808.64/207,288.80
  6. Step 6: Final answer
    x = 248,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.