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Finding the Fourth Proportional to 189,986.98, 285,306.82 and 168,687.66

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Solution

The fourth proportional to 189,986.98, 285,306.82 and 168,687.66 is: 253,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,986.98 : 285,306.82 = 168,687.66 : x
  2. Step 2: Convert to fraction form
    189,986.98/285,306.82 = 168,687.66/x
  3. Step 3: Cross multiply
    189,986.98x = 285,306.82 × 168,687.66
  4. Step 4: Simplify right side
    189,986.98x = 48,127,739,847.84
  5. Step 5: Solve for x
    x = 48,127,739,847.84/189,986.98
  6. Step 6: Final answer
    x = 253,321.25

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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.