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Finding the Fourth Proportional to 101,398.64, 152,015.94 and 61,942.44

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Solution

The fourth proportional to 101,398.64, 152,015.94 and 61,942.44 is: 92,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398.64 : 152,015.94 = 61,942.44 : x
  2. Step 2: Convert to fraction form
    101,398.64/152,015.94 = 61,942.44/x
  3. Step 3: Cross multiply
    101,398.64x = 152,015.94 × 61,942.44
  4. Step 4: Simplify right side
    101,398.64x = 9,416,238,242.49
  5. Step 5: Solve for x
    x = 9,416,238,242.49/101,398.64
  6. Step 6: Final answer
    x = 92,863.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.