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Finding the Fourth Proportional to 178,857.33, 268,086.17 and 77,538.42

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Solution

The fourth proportional to 178,857.33, 268,086.17 and 77,538.42 is: 116,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857.33 : 268,086.17 = 77,538.42 : x
  2. Step 2: Convert to fraction form
    178,857.33/268,086.17 = 77,538.42/x
  3. Step 3: Cross multiply
    178,857.33x = 268,086.17 × 77,538.42
  4. Step 4: Simplify right side
    178,857.33x = 20,786,977,657.96
  5. Step 5: Solve for x
    x = 20,786,977,657.96/178,857.33
  6. Step 6: Final answer
    x = 116,221.00

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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.