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Finding the Fourth Proportional to 106,524.52, 147,057.09 and 66,251.23

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Solution

The fourth proportional to 106,524.52, 147,057.09 and 66,251.23 is: 91,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524.52 : 147,057.09 = 66,251.23 : x
  2. Step 2: Convert to fraction form
    106,524.52/147,057.09 = 66,251.23/x
  3. Step 3: Cross multiply
    106,524.52x = 147,057.09 × 66,251.23
  4. Step 4: Simplify right side
    106,524.52x = 9,742,713,092.72
  5. Step 5: Solve for x
    x = 9,742,713,092.72/106,524.52
  6. Step 6: Final answer
    x = 91,459.82

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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.