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Finding the Fourth Proportional to 109,412.80, 164,119.20 and 26,306.80

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Solution

The fourth proportional to 109,412.80, 164,119.20 and 26,306.80 is: 39,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.80 : 164,119.20 = 26,306.80 : x
  2. Step 2: Convert to fraction form
    109,412.80/164,119.20 = 26,306.80/x
  3. Step 3: Cross multiply
    109,412.80x = 164,119.20 × 26,306.80
  4. Step 4: Simplify right side
    109,412.80x = 4,317,450,970.56
  5. Step 5: Solve for x
    x = 4,317,450,970.56/109,412.80
  6. Step 6: Final answer
    x = 39,460.20

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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.