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Finding the Fourth Proportional to 217,643.84, 300,377.88 and 122,155.82

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Solution

The fourth proportional to 217,643.84, 300,377.88 and 122,155.82 is: 168,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,643.84 : 300,377.88 = 122,155.82 : x
  2. Step 2: Convert to fraction form
    217,643.84/300,377.88 = 122,155.82/x
  3. Step 3: Cross multiply
    217,643.84x = 300,377.88 × 122,155.82
  4. Step 4: Simplify right side
    217,643.84x = 36,692,906,241.26
  5. Step 5: Solve for x
    x = 36,692,906,241.26/217,643.84
  6. Step 6: Final answer
    x = 168,591.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.