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Finding the Fourth Proportional to 101,917.32, 152,189.70 and 83,234.46

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Solution

The fourth proportional to 101,917.32, 152,189.70 and 83,234.46 is: 124,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,917.32 : 152,189.70 = 83,234.46 : x
  2. Step 2: Convert to fraction form
    101,917.32/152,189.70 = 83,234.46/x
  3. Step 3: Cross multiply
    101,917.32x = 152,189.70 × 83,234.46
  4. Step 4: Simplify right side
    101,917.32x = 12,667,427,497.06
  5. Step 5: Solve for x
    x = 12,667,427,497.06/101,917.32
  6. Step 6: Final answer
    x = 124,291.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.