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Finding the Fourth Proportional to 222,774.40, 333,945.60 and 97,960.96

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Solution

The fourth proportional to 222,774.40, 333,945.60 and 97,960.96 is: 146,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,774.40 : 333,945.60 = 97,960.96 : x
  2. Step 2: Convert to fraction form
    222,774.40/333,945.60 = 97,960.96/x
  3. Step 3: Cross multiply
    222,774.40x = 333,945.60 × 97,960.96
  4. Step 4: Simplify right side
    222,774.40x = 32,713,631,563.78
  5. Step 5: Solve for x
    x = 32,713,631,563.78/222,774.40
  6. Step 6: Final answer
    x = 146,846.46

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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.