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Finding the Fourth Proportional to 107,199.52, 160,872.96 and 37,078.88

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Solution

The fourth proportional to 107,199.52, 160,872.96 and 37,078.88 is: 55,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,199.52 : 160,872.96 = 37,078.88 : x
  2. Step 2: Convert to fraction form
    107,199.52/160,872.96 = 37,078.88/x
  3. Step 3: Cross multiply
    107,199.52x = 160,872.96 × 37,078.88
  4. Step 4: Simplify right side
    107,199.52x = 5,964,989,179.08
  5. Step 5: Solve for x
    x = 5,964,989,179.08/107,199.52
  6. Step 6: Final answer
    x = 55,643.80

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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.