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Finding the Fourth Proportional to 222,529.42, 333,715.52 and 96,164.56

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Solution

The fourth proportional to 222,529.42, 333,715.52 and 96,164.56 is: 144,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,529.42 : 333,715.52 = 96,164.56 : x
  2. Step 2: Convert to fraction form
    222,529.42/333,715.52 = 96,164.56/x
  3. Step 3: Cross multiply
    222,529.42x = 333,715.52 × 96,164.56
  4. Step 4: Simplify right side
    222,529.42x = 32,091,606,145.97
  5. Step 5: Solve for x
    x = 32,091,606,145.97/222,529.42
  6. Step 6: Final answer
    x = 144,212.87

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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.