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Finding the Fourth Proportional to 177,833.20, 266,944.20 and 111,348.40

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Solution

The fourth proportional to 177,833.20, 266,944.20 and 111,348.40 is: 167,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,833.20 : 266,944.20 = 111,348.40 : x
  2. Step 2: Convert to fraction form
    177,833.20/266,944.20 = 111,348.40/x
  3. Step 3: Cross multiply
    177,833.20x = 266,944.20 × 111,348.40
  4. Step 4: Simplify right side
    177,833.20x = 29,723,809,559.28
  5. Step 5: Solve for x
    x = 29,723,809,559.28/177,833.20
  6. Step 6: Final answer
    x = 167,144.32

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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.