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Finding the Fourth Proportional to 167,416.60, 231,074.76 and 95,838

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Solution

The fourth proportional to 167,416.60, 231,074.76 and 95,838 is: 132,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,416.60 : 231,074.76 = 95,838 : x
  2. Step 2: Convert to fraction form
    167,416.60/231,074.76 = 95,838/x
  3. Step 3: Cross multiply
    167,416.60x = 231,074.76 × 95,838
  4. Step 4: Simplify right side
    167,416.60x = 22,145,742,848.88
  5. Step 5: Solve for x
    x = 22,145,742,848.88/167,416.60
  6. Step 6: Final answer
    x = 132,279.25

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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.