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Finding the Fourth Proportional to 113,273.50, 169,910.80 and 30,167.50

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Solution

The fourth proportional to 113,273.50, 169,910.80 and 30,167.50 is: 45,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,273.50 : 169,910.80 = 30,167.50 : x
  2. Step 2: Convert to fraction form
    113,273.50/169,910.80 = 30,167.50/x
  3. Step 3: Cross multiply
    113,273.50x = 169,910.80 × 30,167.50
  4. Step 4: Simplify right side
    113,273.50x = 5,125,784,059
  5. Step 5: Solve for x
    x = 5,125,784,059/113,273.50
  6. Step 6: Final answer
    x = 45,251.40

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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.