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Finding the Fourth Proportional to 123,911.30, 185,874.03 and 35,157.80

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Solution

The fourth proportional to 123,911.30, 185,874.03 and 35,157.80 is: 52,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,911.30 : 185,874.03 = 35,157.80 : x
  2. Step 2: Convert to fraction form
    123,911.30/185,874.03 = 35,157.80/x
  3. Step 3: Cross multiply
    123,911.30x = 185,874.03 × 35,157.80
  4. Step 4: Simplify right side
    123,911.30x = 6,534,921,971.93
  5. Step 5: Solve for x
    x = 6,534,921,971.93/123,911.30
  6. Step 6: Final answer
    x = 52,738.71

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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.