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Finding the Fourth Proportional to 167,076, 230,564.88 and 91,624.50

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Solution

The fourth proportional to 167,076, 230,564.88 and 91,624.50 is: 126,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,076 : 230,564.88 = 91,624.50 : x
  2. Step 2: Convert to fraction form
    167,076/230,564.88 = 91,624.50/x
  3. Step 3: Cross multiply
    167,076x = 230,564.88 × 91,624.50
  4. Step 4: Simplify right side
    167,076x = 21,125,391,847.56
  5. Step 5: Solve for x
    x = 21,125,391,847.56/167,076
  6. Step 6: Final answer
    x = 126,441.81

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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.