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Finding the Fourth Proportional to 177,945, 266,979.02 and 111,305.76

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Solution

The fourth proportional to 177,945, 266,979.02 and 111,305.76 is: 166,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,945 : 266,979.02 = 111,305.76 : x
  2. Step 2: Convert to fraction form
    177,945/266,979.02 = 111,305.76/x
  3. Step 3: Cross multiply
    177,945x = 266,979.02 × 111,305.76
  4. Step 4: Simplify right side
    177,945x = 29,716,302,168.63
  5. Step 5: Solve for x
    x = 29,716,302,168.63/177,945
  6. Step 6: Final answer
    x = 166,997.12

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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.