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Finding the Fourth Proportional to 114,959.13, 172,388.42 and 57,997.99

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Solution

The fourth proportional to 114,959.13, 172,388.42 and 57,997.99 is: 86,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959.13 : 172,388.42 = 57,997.99 : x
  2. Step 2: Convert to fraction form
    114,959.13/172,388.42 = 57,997.99/x
  3. Step 3: Cross multiply
    114,959.13x = 172,388.42 × 57,997.99
  4. Step 4: Simplify right side
    114,959.13x = 9,998,181,573.30
  5. Step 5: Solve for x
    x = 9,998,181,573.30/114,959.13
  6. Step 6: Final answer
    x = 86,971.62

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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.