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Finding the Fourth Proportional to 167,214.89, 250,904.34 and 78,475.61

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Solution

The fourth proportional to 167,214.89, 250,904.34 and 78,475.61 is: 117,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,214.89 : 250,904.34 = 78,475.61 : x
  2. Step 2: Convert to fraction form
    167,214.89/250,904.34 = 78,475.61/x
  3. Step 3: Cross multiply
    167,214.89x = 250,904.34 × 78,475.61
  4. Step 4: Simplify right side
    167,214.89x = 19,689,869,878.63
  5. Step 5: Solve for x
    x = 19,689,869,878.63/167,214.89
  6. Step 6: Final answer
    x = 117,751.90

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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.