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Finding the Fourth Proportional to 222,972.98, 334,510.54 and 96,634.42

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Solution

The fourth proportional to 222,972.98, 334,510.54 and 96,634.42 is: 144,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,972.98 : 334,510.54 = 96,634.42 : x
  2. Step 2: Convert to fraction form
    222,972.98/334,510.54 = 96,634.42/x
  3. Step 3: Cross multiply
    222,972.98x = 334,510.54 × 96,634.42
  4. Step 4: Simplify right side
    222,972.98x = 32,325,230,344.23
  5. Step 5: Solve for x
    x = 32,325,230,344.23/222,972.98
  6. Step 6: Final answer
    x = 144,973.76

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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.