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Finding the Fourth Proportional to 132,441.75, 182,763.68 and 75,080.25

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Solution

The fourth proportional to 132,441.75, 182,763.68 and 75,080.25 is: 103,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441.75 : 182,763.68 = 75,080.25 : x
  2. Step 2: Convert to fraction form
    132,441.75/182,763.68 = 75,080.25/x
  3. Step 3: Cross multiply
    132,441.75x = 182,763.68 × 75,080.25
  4. Step 4: Simplify right side
    132,441.75x = 13,721,942,409.92
  5. Step 5: Solve for x
    x = 13,721,942,409.92/132,441.75
  6. Step 6: Final answer
    x = 103,607.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.