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Finding the Fourth Proportional to 195,643.56, 293,503.26 and 83,321.88

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Solution

The fourth proportional to 195,643.56, 293,503.26 and 83,321.88 is: 124,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,643.56 : 293,503.26 = 83,321.88 : x
  2. Step 2: Convert to fraction form
    195,643.56/293,503.26 = 83,321.88/x
  3. Step 3: Cross multiply
    195,643.56x = 293,503.26 × 83,321.88
  4. Step 4: Simplify right side
    195,643.56x = 24,455,243,409.33
  5. Step 5: Solve for x
    x = 24,455,243,409.33/195,643.56
  6. Step 6: Final answer
    x = 124,998.97

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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.