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Finding the Fourth Proportional to 109,478.40, 163,958.40 and 74,227.20

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Solution

The fourth proportional to 109,478.40, 163,958.40 and 74,227.20 is: 111,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478.40 : 163,958.40 = 74,227.20 : x
  2. Step 2: Convert to fraction form
    109,478.40/163,958.40 = 74,227.20/x
  3. Step 3: Cross multiply
    109,478.40x = 163,958.40 × 74,227.20
  4. Step 4: Simplify right side
    109,478.40x = 12,170,172,948.48
  5. Step 5: Solve for x
    x = 12,170,172,948.48/109,478.40
  6. Step 6: Final answer
    x = 111,165.06

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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.