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Finding the Fourth Proportional to 222,765.20, 334,115.40 and 64,977.20

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Solution

The fourth proportional to 222,765.20, 334,115.40 and 64,977.20 is: 97,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.20 : 334,115.40 = 64,977.20 : x
  2. Step 2: Convert to fraction form
    222,765.20/334,115.40 = 64,977.20/x
  3. Step 3: Cross multiply
    222,765.20x = 334,115.40 × 64,977.20
  4. Step 4: Simplify right side
    222,765.20x = 21,709,883,168.88
  5. Step 5: Solve for x
    x = 21,709,883,168.88/222,765.20
  6. Step 6: Final answer
    x = 97,456.35

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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.