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Finding the Fourth Proportional to 238,116.78, 357,183.18 and 119,723.40

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Solution

The fourth proportional to 238,116.78, 357,183.18 and 119,723.40 is: 179,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,116.78 : 357,183.18 = 119,723.40 : x
  2. Step 2: Convert to fraction form
    238,116.78/357,183.18 = 119,723.40/x
  3. Step 3: Cross multiply
    238,116.78x = 357,183.18 × 119,723.40
  4. Step 4: Simplify right side
    238,116.78x = 42,763,184,732.41
  5. Step 5: Solve for x
    x = 42,763,184,732.41/238,116.78
  6. Step 6: Final answer
    x = 179,589.13

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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.