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Finding the Fourth Proportional to 113,214.80, 169,816.80 and 38,327.60

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Solution

The fourth proportional to 113,214.80, 169,816.80 and 38,327.60 is: 57,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214.80 : 169,816.80 = 38,327.60 : x
  2. Step 2: Convert to fraction form
    113,214.80/169,816.80 = 38,327.60/x
  3. Step 3: Cross multiply
    113,214.80x = 169,816.80 × 38,327.60
  4. Step 4: Simplify right side
    113,214.80x = 6,508,670,383.68
  5. Step 5: Solve for x
    x = 6,508,670,383.68/113,214.80
  6. Step 6: Final answer
    x = 57,489.57

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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.