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Finding the Fourth Proportional to 222,294.20, 333,474.10 and 64,502.14

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Solution

The fourth proportional to 222,294.20, 333,474.10 and 64,502.14 is: 96,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,294.20 : 333,474.10 = 64,502.14 : x
  2. Step 2: Convert to fraction form
    222,294.20/333,474.10 = 64,502.14/x
  3. Step 3: Cross multiply
    222,294.20x = 333,474.10 × 64,502.14
  4. Step 4: Simplify right side
    222,294.20x = 21,509,793,084.57
  5. Step 5: Solve for x
    x = 21,509,793,084.57/222,294.20
  6. Step 6: Final answer
    x = 96,762.73

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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.