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Finding the Fourth Proportional to 81,411.60, 122,117.40 and 61,453.20

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Solution

The fourth proportional to 81,411.60, 122,117.40 and 61,453.20 is: 92,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.60 : 122,117.40 = 61,453.20 : x
  2. Step 2: Convert to fraction form
    81,411.60/122,117.40 = 61,453.20/x
  3. Step 3: Cross multiply
    81,411.60x = 122,117.40 × 61,453.20
  4. Step 4: Simplify right side
    81,411.60x = 7,504,505,005.68
  5. Step 5: Solve for x
    x = 7,504,505,005.68/81,411.60
  6. Step 6: Final answer
    x = 92,179.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.