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Finding the Fourth Proportional to 132,300, 182,576.16 and 75,742.56

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Solution

The fourth proportional to 132,300, 182,576.16 and 75,742.56 is: 104,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300 : 182,576.16 = 75,742.56 : x
  2. Step 2: Convert to fraction form
    132,300/182,576.16 = 75,742.56/x
  3. Step 3: Cross multiply
    132,300x = 182,576.16 × 75,742.56
  4. Step 4: Simplify right side
    132,300x = 13,828,785,753.37
  5. Step 5: Solve for x
    x = 13,828,785,753.37/132,300
  6. Step 6: Final answer
    x = 104,525.97

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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.