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Finding the Fourth Proportional to 177,452.30, 266,178.45 and 164,621.90

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Solution

The fourth proportional to 177,452.30, 266,178.45 and 164,621.90 is: 246,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,452.30 : 266,178.45 = 164,621.90 : x
  2. Step 2: Convert to fraction form
    177,452.30/266,178.45 = 164,621.90/x
  3. Step 3: Cross multiply
    177,452.30x = 266,178.45 × 164,621.90
  4. Step 4: Simplify right side
    177,452.30x = 43,818,802,178.06
  5. Step 5: Solve for x
    x = 43,818,802,178.06/177,452.30
  6. Step 6: Final answer
    x = 246,932.85

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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.