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Finding the Fourth Proportional to 206,932.16, 310,400.40 and 165,641.60

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Solution

The fourth proportional to 206,932.16, 310,400.40 and 165,641.60 is: 248,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,932.16 : 310,400.40 = 165,641.60 : x
  2. Step 2: Convert to fraction form
    206,932.16/310,400.40 = 165,641.60/x
  3. Step 3: Cross multiply
    206,932.16x = 310,400.40 × 165,641.60
  4. Step 4: Simplify right side
    206,932.16x = 51,415,218,896.64
  5. Step 5: Solve for x
    x = 51,415,218,896.64/206,932.16
  6. Step 6: Final answer
    x = 248,464.13

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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.