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Finding the Fourth Proportional to 167,051.70, 250,577.55 and 82,827.90

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Solution

The fourth proportional to 167,051.70, 250,577.55 and 82,827.90 is: 124,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,051.70 : 250,577.55 = 82,827.90 : x
  2. Step 2: Convert to fraction form
    167,051.70/250,577.55 = 82,827.90/x
  3. Step 3: Cross multiply
    167,051.70x = 250,577.55 × 82,827.90
  4. Step 4: Simplify right side
    167,051.70x = 20,754,812,253.65
  5. Step 5: Solve for x
    x = 20,754,812,253.65/167,051.70
  6. Step 6: Final answer
    x = 124,241.85

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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.