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Finding the Fourth Proportional to 129,770.68, 194,681.98 and 54,890.50

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Solution

The fourth proportional to 129,770.68, 194,681.98 and 54,890.50 is: 82,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,770.68 : 194,681.98 = 54,890.50 : x
  2. Step 2: Convert to fraction form
    129,770.68/194,681.98 = 54,890.50/x
  3. Step 3: Cross multiply
    129,770.68x = 194,681.98 × 54,890.50
  4. Step 4: Simplify right side
    129,770.68x = 10,686,191,223.19
  5. Step 5: Solve for x
    x = 10,686,191,223.19/129,770.68
  6. Step 6: Final answer
    x = 82,346.73

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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.