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Finding the Fourth Proportional to 132,048.44, 182,239.30 and 75,448.84

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Solution

The fourth proportional to 132,048.44, 182,239.30 and 75,448.84 is: 104,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048.44 : 182,239.30 = 75,448.84 : x
  2. Step 2: Convert to fraction form
    132,048.44/182,239.30 = 75,448.84/x
  3. Step 3: Cross multiply
    132,048.44x = 182,239.30 × 75,448.84
  4. Step 4: Simplify right side
    132,048.44x = 13,749,743,787.41
  5. Step 5: Solve for x
    x = 13,749,743,787.41/132,048.44
  6. Step 6: Final answer
    x = 104,126.51

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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.