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Finding the Fourth Proportional to 195,897.88, 293,850.06 and 55,651.24

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Solution

The fourth proportional to 195,897.88, 293,850.06 and 55,651.24 is: 83,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,897.88 : 293,850.06 = 55,651.24 : x
  2. Step 2: Convert to fraction form
    195,897.88/293,850.06 = 55,651.24/x
  3. Step 3: Cross multiply
    195,897.88x = 293,850.06 × 55,651.24
  4. Step 4: Simplify right side
    195,897.88x = 16,353,120,213.07
  5. Step 5: Solve for x
    x = 16,353,120,213.07/195,897.88
  6. Step 6: Final answer
    x = 83,477.78

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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.