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Finding the Fourth Proportional to 130,056.30, 194,938.65 and 55,163.70

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Solution

The fourth proportional to 130,056.30, 194,938.65 and 55,163.70 is: 82,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,056.30 : 194,938.65 = 55,163.70 : x
  2. Step 2: Convert to fraction form
    130,056.30/194,938.65 = 55,163.70/x
  3. Step 3: Cross multiply
    130,056.30x = 194,938.65 × 55,163.70
  4. Step 4: Simplify right side
    130,056.30x = 10,753,537,207.01
  5. Step 5: Solve for x
    x = 10,753,537,207.01/130,056.30
  6. Step 6: Final answer
    x = 82,683.71

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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.