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Finding the Fourth Proportional to 222,972.48, 334,509.75 and 96,633.88

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Solution

The fourth proportional to 222,972.48, 334,509.75 and 96,633.88 is: 144,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,972.48 : 334,509.75 = 96,633.88 : x
  2. Step 2: Convert to fraction form
    222,972.48/334,509.75 = 96,633.88/x
  3. Step 3: Cross multiply
    222,972.48x = 334,509.75 × 96,633.88
  4. Step 4: Simplify right side
    222,972.48x = 32,324,974,204.06
  5. Step 5: Solve for x
    x = 32,324,974,204.06/222,972.48
  6. Step 6: Final answer
    x = 144,972.93

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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.