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Finding the Fourth Proportional to 222,697.20, 334,013.40 and 64,909.20

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Solution

The fourth proportional to 222,697.20, 334,013.40 and 64,909.20 is: 97,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,697.20 : 334,013.40 = 64,909.20 : x
  2. Step 2: Convert to fraction form
    222,697.20/334,013.40 = 64,909.20/x
  3. Step 3: Cross multiply
    222,697.20x = 334,013.40 × 64,909.20
  4. Step 4: Simplify right side
    222,697.20x = 21,680,542,583.28
  5. Step 5: Solve for x
    x = 21,680,542,583.28/222,697.20
  6. Step 6: Final answer
    x = 97,354.36

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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.