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Finding the Fourth Proportional to 177,784.80, 266,331.60 and 98,757.60

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Solution

The fourth proportional to 177,784.80, 266,331.60 and 98,757.60 is: 147,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,784.80 : 266,331.60 = 98,757.60 : x
  2. Step 2: Convert to fraction form
    177,784.80/266,331.60 = 98,757.60/x
  3. Step 3: Cross multiply
    177,784.80x = 266,331.60 × 98,757.60
  4. Step 4: Simplify right side
    177,784.80x = 26,302,269,620.16
  5. Step 5: Solve for x
    x = 26,302,269,620.16/177,784.80
  6. Step 6: Final answer
    x = 147,944.42

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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.