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Finding the Fourth Proportional to 84,333.35, 116,396.25 and 54,156.80

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Solution

The fourth proportional to 84,333.35, 116,396.25 and 54,156.80 is: 74,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,333.35 : 116,396.25 = 54,156.80 : x
  2. Step 2: Convert to fraction form
    84,333.35/116,396.25 = 54,156.80/x
  3. Step 3: Cross multiply
    84,333.35x = 116,396.25 × 54,156.80
  4. Step 4: Simplify right side
    84,333.35x = 6,303,647,850.02
  5. Step 5: Solve for x
    x = 6,303,647,850.02/84,333.35
  6. Step 6: Final answer
    x = 74,746.80

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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.