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Finding the Fourth Proportional to 167,454.60, 250,967.88 and 78,511.92

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Solution

The fourth proportional to 167,454.60, 250,967.88 and 78,511.92 is: 117,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,454.60 : 250,967.88 = 78,511.92 : x
  2. Step 2: Convert to fraction form
    167,454.60/250,967.88 = 78,511.92/x
  3. Step 3: Cross multiply
    167,454.60x = 250,967.88 × 78,511.92
  4. Step 4: Simplify right side
    167,454.60x = 19,703,970,117.13
  5. Step 5: Solve for x
    x = 19,703,970,117.13/167,454.60
  6. Step 6: Final answer
    x = 117,667.54

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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.