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Finding the Fourth Proportional to 123,616.26, 184,981.32 and 107,033.94

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Solution

The fourth proportional to 123,616.26, 184,981.32 and 107,033.94 is: 160,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616.26 : 184,981.32 = 107,033.94 : x
  2. Step 2: Convert to fraction form
    123,616.26/184,981.32 = 107,033.94/x
  3. Step 3: Cross multiply
    123,616.26x = 184,981.32 × 107,033.94
  4. Step 4: Simplify right side
    123,616.26x = 19,799,279,506.00
  5. Step 5: Solve for x
    x = 19,799,279,506.00/123,616.26
  6. Step 6: Final answer
    x = 160,167.27

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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.