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Finding the Fourth Proportional to 224,255.98, 309,469.30 and 122,282.25

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Solution

The fourth proportional to 224,255.98, 309,469.30 and 122,282.25 is: 168,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,255.98 : 309,469.30 = 122,282.25 : x
  2. Step 2: Convert to fraction form
    224,255.98/309,469.30 = 122,282.25/x
  3. Step 3: Cross multiply
    224,255.98x = 309,469.30 × 122,282.25
  4. Step 4: Simplify right side
    224,255.98x = 37,842,602,309.93
  5. Step 5: Solve for x
    x = 37,842,602,309.93/224,255.98
  6. Step 6: Final answer
    x = 168,747.35

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