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Finding the Fourth Proportional to 106,116.67, 159,085.50 and 46,099.72

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Solution

The fourth proportional to 106,116.67, 159,085.50 and 46,099.72 is: 69,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.67 : 159,085.50 = 46,099.72 : x
  2. Step 2: Convert to fraction form
    106,116.67/159,085.50 = 46,099.72/x
  3. Step 3: Cross multiply
    106,116.67x = 159,085.50 × 46,099.72
  4. Step 4: Simplify right side
    106,116.67x = 7,333,797,006.06
  5. Step 5: Solve for x
    x = 7,333,797,006.06/106,116.67
  6. Step 6: Final answer
    x = 69,110.70

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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.