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Finding the Fourth Proportional to 84,180.96, 116,174.52 and 50,180.40

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Solution

The fourth proportional to 84,180.96, 116,174.52 and 50,180.40 is: 69,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,180.96 : 116,174.52 = 50,180.40 : x
  2. Step 2: Convert to fraction form
    84,180.96/116,174.52 = 50,180.40/x
  3. Step 3: Cross multiply
    84,180.96x = 116,174.52 × 50,180.40
  4. Step 4: Simplify right side
    84,180.96x = 5,829,683,883.41
  5. Step 5: Solve for x
    x = 5,829,683,883.41/84,180.96
  6. Step 6: Final answer
    x = 69,251.81

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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.