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Finding the Fourth Proportional to 109,863.20, 164,867.70 and 62,478.20

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Solution

The fourth proportional to 109,863.20, 164,867.70 and 62,478.20 is: 93,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,863.20 : 164,867.70 = 62,478.20 : x
  2. Step 2: Convert to fraction form
    109,863.20/164,867.70 = 62,478.20/x
  3. Step 3: Cross multiply
    109,863.20x = 164,867.70 × 62,478.20
  4. Step 4: Simplify right side
    109,863.20x = 10,300,637,134.14
  5. Step 5: Solve for x
    x = 10,300,637,134.14/109,863.20
  6. Step 6: Final answer
    x = 93,758.76

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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.