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Finding the Fourth Proportional to 222,495.20, 333,742.80 and 133,848.80

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Solution

The fourth proportional to 222,495.20, 333,742.80 and 133,848.80 is: 200,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,495.20 : 333,742.80 = 133,848.80 : x
  2. Step 2: Convert to fraction form
    222,495.20/333,742.80 = 133,848.80/x
  3. Step 3: Cross multiply
    222,495.20x = 333,742.80 × 133,848.80
  4. Step 4: Simplify right side
    222,495.20x = 44,671,073,288.64
  5. Step 5: Solve for x
    x = 44,671,073,288.64/222,495.20
  6. Step 6: Final answer
    x = 200,773.20

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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.