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Finding the Fourth Proportional to 222,922.95, 334,478.24 and 138,753.54

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Solution

The fourth proportional to 222,922.95, 334,478.24 and 138,753.54 is: 208,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,922.95 : 334,478.24 = 138,753.54 : x
  2. Step 2: Convert to fraction form
    222,922.95/334,478.24 = 138,753.54/x
  3. Step 3: Cross multiply
    222,922.95x = 334,478.24 × 138,753.54
  4. Step 4: Simplify right side
    222,922.95x = 46,410,039,159.20
  5. Step 5: Solve for x
    x = 46,410,039,159.20/222,922.95
  6. Step 6: Final answer
    x = 208,188.70

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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.