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Finding the Fourth Proportional to 163,257.80, 225,318.50 and 90,677

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Solution

The fourth proportional to 163,257.80, 225,318.50 and 90,677 is: 125,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,257.80 : 225,318.50 = 90,677 : x
  2. Step 2: Convert to fraction form
    163,257.80/225,318.50 = 90,677/x
  3. Step 3: Cross multiply
    163,257.80x = 225,318.50 × 90,677
  4. Step 4: Simplify right side
    163,257.80x = 20,431,205,624.50
  5. Step 5: Solve for x
    x = 20,431,205,624.50/163,257.80
  6. Step 6: Final answer
    x = 125,146.89

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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.