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Finding the Fourth Proportional to 222,548, 333,953.22 and 82,405.04

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Solution

The fourth proportional to 222,548, 333,953.22 and 82,405.04 is: 123,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,548 : 333,953.22 = 82,405.04 : x
  2. Step 2: Convert to fraction form
    222,548/333,953.22 = 82,405.04/x
  3. Step 3: Cross multiply
    222,548x = 333,953.22 × 82,405.04
  4. Step 4: Simplify right side
    222,548x = 27,519,428,452.23
  5. Step 5: Solve for x
    x = 27,519,428,452.23/222,548
  6. Step 6: Final answer
    x = 123,656.15

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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.