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Finding the Fourth Proportional to 123,980.11, 185,971.72 and 35,233.50

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Solution

The fourth proportional to 123,980.11, 185,971.72 and 35,233.50 is: 52,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,980.11 : 185,971.72 = 35,233.50 : x
  2. Step 2: Convert to fraction form
    123,980.11/185,971.72 = 35,233.50/x
  3. Step 3: Cross multiply
    123,980.11x = 185,971.72 × 35,233.50
  4. Step 4: Simplify right side
    123,980.11x = 6,552,433,578.68
  5. Step 5: Solve for x
    x = 6,552,433,578.68/123,980.11
  6. Step 6: Final answer
    x = 52,850.68

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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.