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Finding the Fourth Proportional to 101,767.41, 152,655.91 and 83,965.07

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Solution

The fourth proportional to 101,767.41, 152,655.91 and 83,965.07 is: 125,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,767.41 : 152,655.91 = 83,965.07 : x
  2. Step 2: Convert to fraction form
    101,767.41/152,655.91 = 83,965.07/x
  3. Step 3: Cross multiply
    101,767.41x = 152,655.91 × 83,965.07
  4. Step 4: Simplify right side
    101,767.41x = 12,817,764,340.79
  5. Step 5: Solve for x
    x = 12,817,764,340.79/101,767.41
  6. Step 6: Final answer
    x = 125,951.56

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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.