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Finding the Fourth Proportional to 105,940, 158,909.64 and 66,524.77

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Solution

The fourth proportional to 105,940, 158,909.64 and 66,524.77 is: 99,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,940 : 158,909.64 = 66,524.77 : x
  2. Step 2: Convert to fraction form
    105,940/158,909.64 = 66,524.77/x
  3. Step 3: Cross multiply
    105,940x = 158,909.64 × 66,524.77
  4. Step 4: Simplify right side
    105,940x = 10,571,427,251.78
  5. Step 5: Solve for x
    x = 10,571,427,251.78/105,940
  6. Step 6: Final answer
    x = 99,786.93

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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.