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Finding the Fourth Proportional to 117,410.99, 176,142.01 and 38,522.26

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Solution

The fourth proportional to 117,410.99, 176,142.01 and 38,522.26 is: 57,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,410.99 : 176,142.01 = 38,522.26 : x
  2. Step 2: Convert to fraction form
    117,410.99/176,142.01 = 38,522.26/x
  3. Step 3: Cross multiply
    117,410.99x = 176,142.01 × 38,522.26
  4. Step 4: Simplify right side
    117,410.99x = 6,785,387,769.48
  5. Step 5: Solve for x
    x = 6,785,387,769.48/117,410.99
  6. Step 6: Final answer
    x = 57,791.76

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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.