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Finding the Fourth Proportional to 222,709.60, 334,064.40 and 185,311.90

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Solution

The fourth proportional to 222,709.60, 334,064.40 and 185,311.90 is: 277,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,709.60 : 334,064.40 = 185,311.90 : x
  2. Step 2: Convert to fraction form
    222,709.60/334,064.40 = 185,311.90/x
  3. Step 3: Cross multiply
    222,709.60x = 334,064.40 × 185,311.90
  4. Step 4: Simplify right side
    222,709.60x = 61,906,108,686.36
  5. Step 5: Solve for x
    x = 61,906,108,686.36/222,709.60
  6. Step 6: Final answer
    x = 277,967.85

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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.