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Finding the Fourth Proportional to 119,343.44, 178,995.72 and 36,218

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Solution

The fourth proportional to 119,343.44, 178,995.72 and 36,218 is: 54,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343.44 : 178,995.72 = 36,218 : x
  2. Step 2: Convert to fraction form
    119,343.44/178,995.72 = 36,218/x
  3. Step 3: Cross multiply
    119,343.44x = 178,995.72 × 36,218
  4. Step 4: Simplify right side
    119,343.44x = 6,482,866,986.96
  5. Step 5: Solve for x
    x = 6,482,866,986.96/119,343.44
  6. Step 6: Final answer
    x = 54,321.10

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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.