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Finding the Fourth Proportional to 110,466.40, 165,721.20 and 47,286.40

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Solution

The fourth proportional to 110,466.40, 165,721.20 and 47,286.40 is: 70,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,466.40 : 165,721.20 = 47,286.40 : x
  2. Step 2: Convert to fraction form
    110,466.40/165,721.20 = 47,286.40/x
  3. Step 3: Cross multiply
    110,466.40x = 165,721.20 × 47,286.40
  4. Step 4: Simplify right side
    110,466.40x = 7,836,358,951.68
  5. Step 5: Solve for x
    x = 7,836,358,951.68/110,466.40
  6. Step 6: Final answer
    x = 70,938.85

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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.