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Finding the Fourth Proportional to 132,473.24, 182,809 and 75,117.82

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Solution

The fourth proportional to 132,473.24, 182,809 and 75,117.82 is: 103,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,473.24 : 182,809 = 75,117.82 : x
  2. Step 2: Convert to fraction form
    132,473.24/182,809 = 75,117.82/x
  3. Step 3: Cross multiply
    132,473.24x = 182,809 × 75,117.82
  4. Step 4: Simplify right side
    132,473.24x = 13,732,213,556.38
  5. Step 5: Solve for x
    x = 13,732,213,556.38/132,473.24
  6. Step 6: Final answer
    x = 103,660.28

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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.