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Finding the Fourth Proportional to 177,771.60, 266,560.20 and 72,471.60

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Solution

The fourth proportional to 177,771.60, 266,560.20 and 72,471.60 is: 108,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,771.60 : 266,560.20 = 72,471.60 : x
  2. Step 2: Convert to fraction form
    177,771.60/266,560.20 = 72,471.60/x
  3. Step 3: Cross multiply
    177,771.60x = 266,560.20 × 72,471.60
  4. Step 4: Simplify right side
    177,771.60x = 19,318,044,190.32
  5. Step 5: Solve for x
    x = 19,318,044,190.32/177,771.60
  6. Step 6: Final answer
    x = 108,667.77

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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.