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Finding the Fourth Proportional to 81,157.80, 121,653.90 and 54,865.20

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Solution

The fourth proportional to 81,157.80, 121,653.90 and 54,865.20 is: 82,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157.80 : 121,653.90 = 54,865.20 : x
  2. Step 2: Convert to fraction form
    81,157.80/121,653.90 = 54,865.20/x
  3. Step 3: Cross multiply
    81,157.80x = 121,653.90 × 54,865.20
  4. Step 4: Simplify right side
    81,157.80x = 6,674,565,554.28
  5. Step 5: Solve for x
    x = 6,674,565,554.28/81,157.80
  6. Step 6: Final answer
    x = 82,241.82

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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.