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Finding the Fourth Proportional to 177,678, 266,648.04 and 84,183.84

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Solution

The fourth proportional to 177,678, 266,648.04 and 84,183.84 is: 126,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678 : 266,648.04 = 84,183.84 : x
  2. Step 2: Convert to fraction form
    177,678/266,648.04 = 84,183.84/x
  3. Step 3: Cross multiply
    177,678x = 266,648.04 × 84,183.84
  4. Step 4: Simplify right side
    177,678x = 22,447,455,935.67
  5. Step 5: Solve for x
    x = 22,447,455,935.67/177,678
  6. Step 6: Final answer
    x = 126,337.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.