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Finding the Fourth Proportional to 103,760.31, 143,187.69 and 58,438.38

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Solution

The fourth proportional to 103,760.31, 143,187.69 and 58,438.38 is: 80,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,760.31 : 143,187.69 = 58,438.38 : x
  2. Step 2: Convert to fraction form
    103,760.31/143,187.69 = 58,438.38/x
  3. Step 3: Cross multiply
    103,760.31x = 143,187.69 × 58,438.38
  4. Step 4: Simplify right side
    103,760.31x = 8,367,656,639.54
  5. Step 5: Solve for x
    x = 8,367,656,639.54/103,760.31
  6. Step 6: Final answer
    x = 80,644.10

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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.