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Finding the Fourth Proportional to 106,709.90, 147,378.51 and 82,799.96

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Solution

The fourth proportional to 106,709.90, 147,378.51 and 82,799.96 is: 114,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709.90 : 147,378.51 = 82,799.96 : x
  2. Step 2: Convert to fraction form
    106,709.90/147,378.51 = 82,799.96/x
  3. Step 3: Cross multiply
    106,709.90x = 147,378.51 × 82,799.96
  4. Step 4: Simplify right side
    106,709.90x = 12,202,933,995.97
  5. Step 5: Solve for x
    x = 12,202,933,995.97/106,709.90
  6. Step 6: Final answer
    x = 114,356.16

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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.