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Finding the Fourth Proportional to 199,883.04, 275,872.72 and 119,314.72

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Solution

The fourth proportional to 199,883.04, 275,872.72 and 119,314.72 is: 164,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,883.04 : 275,872.72 = 119,314.72 : x
  2. Step 2: Convert to fraction form
    199,883.04/275,872.72 = 119,314.72/x
  3. Step 3: Cross multiply
    199,883.04x = 275,872.72 × 119,314.72
  4. Step 4: Simplify right side
    199,883.04x = 32,915,676,342.44
  5. Step 5: Solve for x
    x = 32,915,676,342.44/199,883.04
  6. Step 6: Final answer
    x = 164,674.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.