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Finding the Fourth Proportional to 106,916.22, 147,549 and 59,169.57

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Solution

The fourth proportional to 106,916.22, 147,549 and 59,169.57 is: 81,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916.22 : 147,549 = 59,169.57 : x
  2. Step 2: Convert to fraction form
    106,916.22/147,549 = 59,169.57/x
  3. Step 3: Cross multiply
    106,916.22x = 147,549 × 59,169.57
  4. Step 4: Simplify right side
    106,916.22x = 8,730,410,883.93
  5. Step 5: Solve for x
    x = 8,730,410,883.93/106,916.22
  6. Step 6: Final answer
    x = 81,656.56

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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.