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Finding the Fourth Proportional to 206,849.88, 285,263.16 and 134,177.01

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Solution

The fourth proportional to 206,849.88, 285,263.16 and 134,177.01 is: 185,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,849.88 : 285,263.16 = 134,177.01 : x
  2. Step 2: Convert to fraction form
    206,849.88/285,263.16 = 134,177.01/x
  3. Step 3: Cross multiply
    206,849.88x = 285,263.16 × 134,177.01
  4. Step 4: Simplify right side
    206,849.88x = 38,275,757,871.95
  5. Step 5: Solve for x
    x = 38,275,757,871.95/206,849.88
  6. Step 6: Final answer
    x = 185,041.24

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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.