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Finding the Fourth Proportional to 77,181.60, 115,891.20 and 42,189.60

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Solution

The fourth proportional to 77,181.60, 115,891.20 and 42,189.60 is: 63,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,181.60 : 115,891.20 = 42,189.60 : x
  2. Step 2: Convert to fraction form
    77,181.60/115,891.20 = 42,189.60/x
  3. Step 3: Cross multiply
    77,181.60x = 115,891.20 × 42,189.60
  4. Step 4: Simplify right side
    77,181.60x = 4,889,403,371.52
  5. Step 5: Solve for x
    x = 4,889,403,371.52/77,181.60
  6. Step 6: Final answer
    x = 63,349.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.