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Finding the Fourth Proportional to 106,187.84, 146,531.68 and 63,164.96

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Solution

The fourth proportional to 106,187.84, 146,531.68 and 63,164.96 is: 87,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.84 : 146,531.68 = 63,164.96 : x
  2. Step 2: Convert to fraction form
    106,187.84/146,531.68 = 63,164.96/x
  3. Step 3: Cross multiply
    106,187.84x = 146,531.68 × 63,164.96
  4. Step 4: Simplify right side
    106,187.84x = 9,255,667,705.93
  5. Step 5: Solve for x
    x = 9,255,667,705.93/106,187.84
  6. Step 6: Final answer
    x = 87,163.16

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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.