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Finding the Fourth Proportional to 132,122.54, 182,297.49 and 75,519.74

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Solution

The fourth proportional to 132,122.54, 182,297.49 and 75,519.74 is: 104,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,122.54 : 182,297.49 = 75,519.74 : x
  2. Step 2: Convert to fraction form
    132,122.54/182,297.49 = 75,519.74/x
  3. Step 3: Cross multiply
    132,122.54x = 182,297.49 × 75,519.74
  4. Step 4: Simplify right side
    132,122.54x = 13,767,059,220.00
  5. Step 5: Solve for x
    x = 13,767,059,220.00/132,122.54
  6. Step 6: Final answer
    x = 104,199.17

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