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Finding the Fourth Proportional to 101,525.19, 152,121.32 and 71,889.82

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Solution

The fourth proportional to 101,525.19, 152,121.32 and 71,889.82 is: 107,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,525.19 : 152,121.32 = 71,889.82 : x
  2. Step 2: Convert to fraction form
    101,525.19/152,121.32 = 71,889.82/x
  3. Step 3: Cross multiply
    101,525.19x = 152,121.32 × 71,889.82
  4. Step 4: Simplify right side
    101,525.19x = 10,935,974,247.18
  5. Step 5: Solve for x
    x = 10,935,974,247.18/101,525.19
  6. Step 6: Final answer
    x = 107,716.86

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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.