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Finding the Fourth Proportional to 119,314.56, 178,997.36 and 74,998.68

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Solution

The fourth proportional to 119,314.56, 178,997.36 and 74,998.68 is: 112,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.56 : 178,997.36 = 74,998.68 : x
  2. Step 2: Convert to fraction form
    119,314.56/178,997.36 = 74,998.68/x
  3. Step 3: Cross multiply
    119,314.56x = 178,997.36 × 74,998.68
  4. Step 4: Simplify right side
    119,314.56x = 13,424,565,723.48
  5. Step 5: Solve for x
    x = 13,424,565,723.48/119,314.56
  6. Step 6: Final answer
    x = 112,514.06

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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.