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Finding the Fourth Proportional to 190,398.80, 285,676.56 and 83,727.86

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Solution

The fourth proportional to 190,398.80, 285,676.56 and 83,727.86 is: 125,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,398.80 : 285,676.56 = 83,727.86 : x
  2. Step 2: Convert to fraction form
    190,398.80/285,676.56 = 83,727.86/x
  3. Step 3: Cross multiply
    190,398.80x = 285,676.56 × 83,727.86
  4. Step 4: Simplify right side
    190,398.80x = 23,919,087,020.96
  5. Step 5: Solve for x
    x = 23,919,087,020.96/190,398.80
  6. Step 6: Final answer
    x = 125,626.25

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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.