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Finding the Fourth Proportional to 107,310.80, 160,836.60 and 54,693.20

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Solution

The fourth proportional to 107,310.80, 160,836.60 and 54,693.20 is: 81,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,310.80 : 160,836.60 = 54,693.20 : x
  2. Step 2: Convert to fraction form
    107,310.80/160,836.60 = 54,693.20/x
  3. Step 3: Cross multiply
    107,310.80x = 160,836.60 × 54,693.20
  4. Step 4: Simplify right side
    107,310.80x = 8,796,668,331.12
  5. Step 5: Solve for x
    x = 8,796,668,331.12/107,310.80
  6. Step 6: Final answer
    x = 81,973.75

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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.