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Finding the Fourth Proportional to 222,530.42, 333,717.02 and 96,165.56

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Solution

The fourth proportional to 222,530.42, 333,717.02 and 96,165.56 is: 144,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,530.42 : 333,717.02 = 96,165.56 : x
  2. Step 2: Convert to fraction form
    222,530.42/333,717.02 = 96,165.56/x
  3. Step 3: Cross multiply
    222,530.42x = 333,717.02 × 96,165.56
  4. Step 4: Simplify right side
    222,530.42x = 32,092,084,109.83
  5. Step 5: Solve for x
    x = 32,092,084,109.83/222,530.42
  6. Step 6: Final answer
    x = 144,214.37

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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.