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Finding the Fourth Proportional to 183,478.80, 275,218.20 and 109,750.80

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Solution

The fourth proportional to 183,478.80, 275,218.20 and 109,750.80 is: 164,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478.80 : 275,218.20 = 109,750.80 : x
  2. Step 2: Convert to fraction form
    183,478.80/275,218.20 = 109,750.80/x
  3. Step 3: Cross multiply
    183,478.80x = 275,218.20 × 109,750.80
  4. Step 4: Simplify right side
    183,478.80x = 30,205,417,624.56
  5. Step 5: Solve for x
    x = 30,205,417,624.56/183,478.80
  6. Step 6: Final answer
    x = 164,626.20

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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.