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Finding the Fourth Proportional to 189,714.75, 284,583.26 and 71,387.11

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Solution

The fourth proportional to 189,714.75, 284,583.26 and 71,387.11 is: 107,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.75 : 284,583.26 = 71,387.11 : x
  2. Step 2: Convert to fraction form
    189,714.75/284,583.26 = 71,387.11/x
  3. Step 3: Cross multiply
    189,714.75x = 284,583.26 × 71,387.11
  4. Step 4: Simplify right side
    189,714.75x = 20,315,576,128.84
  5. Step 5: Solve for x
    x = 20,315,576,128.84/189,714.75
  6. Step 6: Final answer
    x = 107,084.86

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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.