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Finding the Fourth Proportional to 195,403.68, 293,116.32 and 55,174.32

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Solution

The fourth proportional to 195,403.68, 293,116.32 and 55,174.32 is: 82,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,403.68 : 293,116.32 = 55,174.32 : x
  2. Step 2: Convert to fraction form
    195,403.68/293,116.32 = 55,174.32/x
  3. Step 3: Cross multiply
    195,403.68x = 293,116.32 × 55,174.32
  4. Step 4: Simplify right side
    195,403.68x = 16,172,493,636.90
  5. Step 5: Solve for x
    x = 16,172,493,636.90/195,403.68
  6. Step 6: Final answer
    x = 82,764.53

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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.