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Finding the Fourth Proportional to 222,799.74, 334,210.56 and 82,525.56

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Solution

The fourth proportional to 222,799.74, 334,210.56 and 82,525.56 is: 123,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,799.74 : 334,210.56 = 82,525.56 : x
  2. Step 2: Convert to fraction form
    222,799.74/334,210.56 = 82,525.56/x
  3. Step 3: Cross multiply
    222,799.74x = 334,210.56 × 82,525.56
  4. Step 4: Simplify right side
    222,799.74x = 27,580,913,621.91
  5. Step 5: Solve for x
    x = 27,580,913,621.91/222,799.74
  6. Step 6: Final answer
    x = 123,792.40

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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.