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Finding the Fourth Proportional to 84,178.14, 116,165.43 and 46,454.70

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Solution

The fourth proportional to 84,178.14, 116,165.43 and 46,454.70 is: 64,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178.14 : 116,165.43 = 46,454.70 : x
  2. Step 2: Convert to fraction form
    84,178.14/116,165.43 = 46,454.70/x
  3. Step 3: Cross multiply
    84,178.14x = 116,165.43 × 46,454.70
  4. Step 4: Simplify right side
    84,178.14x = 5,396,430,201.02
  5. Step 5: Solve for x
    x = 5,396,430,201.02/84,178.14
  6. Step 6: Final answer
    x = 64,107.26

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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.