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Finding the Fourth Proportional to 109,608.20, 164,412.30 and 106,327.70

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Solution

The fourth proportional to 109,608.20, 164,412.30 and 106,327.70 is: 159,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,608.20 : 164,412.30 = 106,327.70 : x
  2. Step 2: Convert to fraction form
    109,608.20/164,412.30 = 106,327.70/x
  3. Step 3: Cross multiply
    109,608.20x = 164,412.30 × 106,327.70
  4. Step 4: Simplify right side
    109,608.20x = 17,481,581,710.71
  5. Step 5: Solve for x
    x = 17,481,581,710.71/109,608.20
  6. Step 6: Final answer
    x = 159,491.55

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1.5x scale

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.