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Finding the Fourth Proportional to 107,393.10, 148,202.64 and 59,645.22

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Solution

The fourth proportional to 107,393.10, 148,202.64 and 59,645.22 is: 82,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,393.10 : 148,202.64 = 59,645.22 : x
  2. Step 2: Convert to fraction form
    107,393.10/148,202.64 = 59,645.22/x
  3. Step 3: Cross multiply
    107,393.10x = 148,202.64 × 59,645.22
  4. Step 4: Simplify right side
    107,393.10x = 8,839,579,067.38
  5. Step 5: Solve for x
    x = 8,839,579,067.38/107,393.10
  6. Step 6: Final answer
    x = 82,310.49

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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.