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Finding the Fourth Proportional to 141,031.68, 194,623.20 and 87,306

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Solution

The fourth proportional to 141,031.68, 194,623.20 and 87,306 is: 120,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,031.68 : 194,623.20 = 87,306 : x
  2. Step 2: Convert to fraction form
    141,031.68/194,623.20 = 87,306/x
  3. Step 3: Cross multiply
    141,031.68x = 194,623.20 × 87,306
  4. Step 4: Simplify right side
    141,031.68x = 16,991,773,099.20
  5. Step 5: Solve for x
    x = 16,991,773,099.20/141,031.68
  6. Step 6: Final answer
    x = 120,481.96

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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.