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Finding the Fourth Proportional to 192,142.33, 288,389.27 and 97,437.88

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Solution

The fourth proportional to 192,142.33, 288,389.27 and 97,437.88 is: 146,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,142.33 : 288,389.27 = 97,437.88 : x
  2. Step 2: Convert to fraction form
    192,142.33/288,389.27 = 97,437.88/x
  3. Step 3: Cross multiply
    192,142.33x = 288,389.27 × 97,437.88
  4. Step 4: Simplify right side
    192,142.33x = 28,100,039,687.63
  5. Step 5: Solve for x
    x = 28,100,039,687.63/192,142.33
  6. Step 6: Final answer
    x = 146,245.96

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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.