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Finding the Fourth Proportional to 101,584.80, 152,525.16 and 75,012.75

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Solution

The fourth proportional to 101,584.80, 152,525.16 and 75,012.75 is: 112,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.80 : 152,525.16 = 75,012.75 : x
  2. Step 2: Convert to fraction form
    101,584.80/152,525.16 = 75,012.75/x
  3. Step 3: Cross multiply
    101,584.80x = 152,525.16 × 75,012.75
  4. Step 4: Simplify right side
    101,584.80x = 11,441,331,695.79
  5. Step 5: Solve for x
    x = 11,441,331,695.79/101,584.80
  6. Step 6: Final answer
    x = 112,628.38

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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.