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Finding the Fourth Proportional to 222,706.98, 307,302.12 and 127,193.40

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Solution

The fourth proportional to 222,706.98, 307,302.12 and 127,193.40 is: 175,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,706.98 : 307,302.12 = 127,193.40 : x
  2. Step 2: Convert to fraction form
    222,706.98/307,302.12 = 127,193.40/x
  3. Step 3: Cross multiply
    222,706.98x = 307,302.12 × 127,193.40
  4. Step 4: Simplify right side
    222,706.98x = 39,086,801,470.01
  5. Step 5: Solve for x
    x = 39,086,801,470.01/222,706.98
  6. Step 6: Final answer
    x = 175,507.75

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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.