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Finding the Fourth Proportional to 78,133.97, 117,204.20 and 22,729.97

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Solution

The fourth proportional to 78,133.97, 117,204.20 and 22,729.97 is: 34,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.97 : 117,204.20 = 22,729.97 : x
  2. Step 2: Convert to fraction form
    78,133.97/117,204.20 = 22,729.97/x
  3. Step 3: Cross multiply
    78,133.97x = 117,204.20 × 22,729.97
  4. Step 4: Simplify right side
    78,133.97x = 2,664,047,250.20
  5. Step 5: Solve for x
    x = 2,664,047,250.20/78,133.97
  6. Step 6: Final answer
    x = 34,095.89

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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.