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Finding the Fourth Proportional to 146,785.40, 202,576.38 and 83,134.52

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Solution

The fourth proportional to 146,785.40, 202,576.38 and 83,134.52 is: 114,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,785.40 : 202,576.38 = 83,134.52 : x
  2. Step 2: Convert to fraction form
    146,785.40/202,576.38 = 83,134.52/x
  3. Step 3: Cross multiply
    146,785.40x = 202,576.38 × 83,134.52
  4. Step 4: Simplify right side
    146,785.40x = 16,841,090,114.64
  5. Step 5: Solve for x
    x = 16,841,090,114.64/146,785.40
  6. Step 6: Final answer
    x = 114,732.73

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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.