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Finding the Fourth Proportional to 145,193.40, 217,817.58 and 50,419.86

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Solution

The fourth proportional to 145,193.40, 217,817.58 and 50,419.86 is: 75,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.40 : 217,817.58 = 50,419.86 : x
  2. Step 2: Convert to fraction form
    145,193.40/217,817.58 = 50,419.86/x
  3. Step 3: Cross multiply
    145,193.40x = 217,817.58 × 50,419.86
  4. Step 4: Simplify right side
    145,193.40x = 10,982,331,889.14
  5. Step 5: Solve for x
    x = 10,982,331,889.14/145,193.40
  6. Step 6: Final answer
    x = 75,639.33

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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.