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Finding the Fourth Proportional to 222,643.97, 333,177.61 and 138,443.79

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Solution

The fourth proportional to 222,643.97, 333,177.61 and 138,443.79 is: 207,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,643.97 : 333,177.61 = 138,443.79 : x
  2. Step 2: Convert to fraction form
    222,643.97/333,177.61 = 138,443.79/x
  3. Step 3: Cross multiply
    222,643.97x = 333,177.61 × 138,443.79
  4. Step 4: Simplify right side
    222,643.97x = 46,126,369,476.02
  5. Step 5: Solve for x
    x = 46,126,369,476.02/222,643.97
  6. Step 6: Final answer
    x = 207,175.47

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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.