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Finding the Fourth Proportional to 106,806.96, 147,394.59 and 59,063.55

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Solution

The fourth proportional to 106,806.96, 147,394.59 and 59,063.55 is: 81,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.96 : 147,394.59 = 59,063.55 : x
  2. Step 2: Convert to fraction form
    106,806.96/147,394.59 = 59,063.55/x
  3. Step 3: Cross multiply
    106,806.96x = 147,394.59 × 59,063.55
  4. Step 4: Simplify right side
    106,806.96x = 8,705,647,736.19
  5. Step 5: Solve for x
    x = 8,705,647,736.19/106,806.96
  6. Step 6: Final answer
    x = 81,508.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.