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Finding the Fourth Proportional to 113,216.50, 169,903.15 and 42,204

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Solution

The fourth proportional to 113,216.50, 169,903.15 and 42,204 is: 63,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,216.50 : 169,903.15 = 42,204 : x
  2. Step 2: Convert to fraction form
    113,216.50/169,903.15 = 42,204/x
  3. Step 3: Cross multiply
    113,216.50x = 169,903.15 × 42,204
  4. Step 4: Simplify right side
    113,216.50x = 7,170,592,437.09
  5. Step 5: Solve for x
    x = 7,170,592,437.09/113,216.50
  6. Step 6: Final answer
    x = 63,335.23

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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.