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Finding the Fourth Proportional to 222,658.32, 334,045.80 and 110,334

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Solution

The fourth proportional to 222,658.32, 334,045.80 and 110,334 is: 165,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,658.32 : 334,045.80 = 110,334 : x
  2. Step 2: Convert to fraction form
    222,658.32/334,045.80 = 110,334/x
  3. Step 3: Cross multiply
    222,658.32x = 334,045.80 × 110,334
  4. Step 4: Simplify right side
    222,658.32x = 36,856,609,297.20
  5. Step 5: Solve for x
    x = 36,856,609,297.20/222,658.32
  6. Step 6: Final answer
    x = 165,529.90

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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.