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Finding the Fourth Proportional to 222,169.20, 333,302.40 and 109,903.20

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Solution

The fourth proportional to 222,169.20, 333,302.40 and 109,903.20 is: 164,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,169.20 : 333,302.40 = 109,903.20 : x
  2. Step 2: Convert to fraction form
    222,169.20/333,302.40 = 109,903.20/x
  3. Step 3: Cross multiply
    222,169.20x = 333,302.40 × 109,903.20
  4. Step 4: Simplify right side
    222,169.20x = 36,631,000,327.68
  5. Step 5: Solve for x
    x = 36,631,000,327.68/222,169.20
  6. Step 6: Final answer
    x = 164,878.84

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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.