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Finding the Fourth Proportional to 107,000, 160,439.97 and 73,304.08

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Solution

The fourth proportional to 107,000, 160,439.97 and 73,304.08 is: 109,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000 : 160,439.97 = 73,304.08 : x
  2. Step 2: Convert to fraction form
    107,000/160,439.97 = 73,304.08/x
  3. Step 3: Cross multiply
    107,000x = 160,439.97 × 73,304.08
  4. Step 4: Simplify right side
    107,000x = 11,760,904,396.08
  5. Step 5: Solve for x
    x = 11,760,904,396.08/107,000
  6. Step 6: Final answer
    x = 109,914.99

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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.