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Finding the Fourth Proportional to 81,157.20, 121,678.20 and 36,805.20

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Solution

The fourth proportional to 81,157.20, 121,678.20 and 36,805.20 is: 55,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157.20 : 121,678.20 = 36,805.20 : x
  2. Step 2: Convert to fraction form
    81,157.20/121,678.20 = 36,805.20/x
  3. Step 3: Cross multiply
    81,157.20x = 121,678.20 × 36,805.20
  4. Step 4: Simplify right side
    81,157.20x = 4,478,390,486.64
  5. Step 5: Solve for x
    x = 4,478,390,486.64/81,157.20
  6. Step 6: Final answer
    x = 55,181.68

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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.