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Finding the Fourth Proportional to 106,813.68, 160,218.78 and 43,619.92

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Solution

The fourth proportional to 106,813.68, 160,218.78 and 43,619.92 is: 65,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,813.68 : 160,218.78 = 43,619.92 : x
  2. Step 2: Convert to fraction form
    106,813.68/160,218.78 = 43,619.92/x
  3. Step 3: Cross multiply
    106,813.68x = 160,218.78 × 43,619.92
  4. Step 4: Simplify right side
    106,813.68x = 6,988,730,366.10
  5. Step 5: Solve for x
    x = 6,988,730,366.10/106,813.68
  6. Step 6: Final answer
    x = 65,429.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.