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Finding the Fourth Proportional to 106,115.67, 159,084 and 46,098.72

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Solution

The fourth proportional to 106,115.67, 159,084 and 46,098.72 is: 69,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.67 : 159,084 = 46,098.72 : x
  2. Step 2: Convert to fraction form
    106,115.67/159,084 = 46,098.72/x
  3. Step 3: Cross multiply
    106,115.67x = 159,084 × 46,098.72
  4. Step 4: Simplify right side
    106,115.67x = 7,333,568,772.48
  5. Step 5: Solve for x
    x = 7,333,568,772.48/106,115.67
  6. Step 6: Final answer
    x = 69,109.20

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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.