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Finding the Fourth Proportional to 117,105.84, 175,640.49 and 38,202.57

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Solution

The fourth proportional to 117,105.84, 175,640.49 and 38,202.57 is: 57,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,105.84 : 175,640.49 = 38,202.57 : x
  2. Step 2: Convert to fraction form
    117,105.84/175,640.49 = 38,202.57/x
  3. Step 3: Cross multiply
    117,105.84x = 175,640.49 × 38,202.57
  4. Step 4: Simplify right side
    117,105.84x = 6,709,918,114.06
  5. Step 5: Solve for x
    x = 6,709,918,114.06/117,105.84
  6. Step 6: Final answer
    x = 57,297.89

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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.