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Finding the Fourth Proportional to 193,522.50, 290,209.10 and 75,178.26

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Solution

The fourth proportional to 193,522.50, 290,209.10 and 75,178.26 is: 112,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522.50 : 290,209.10 = 75,178.26 : x
  2. Step 2: Convert to fraction form
    193,522.50/290,209.10 = 75,178.26/x
  3. Step 3: Cross multiply
    193,522.50x = 290,209.10 × 75,178.26
  4. Step 4: Simplify right side
    193,522.50x = 21,817,414,798.27
  5. Step 5: Solve for x
    x = 21,817,414,798.27/193,522.50
  6. Step 6: Final answer
    x = 112,738.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.