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Finding the Fourth Proportional to 195,327, 292,786.20 and 90,214.92

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Solution

The fourth proportional to 195,327, 292,786.20 and 90,214.92 is: 135,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,327 : 292,786.20 = 90,214.92 : x
  2. Step 2: Convert to fraction form
    195,327/292,786.20 = 90,214.92/x
  3. Step 3: Cross multiply
    195,327x = 292,786.20 × 90,214.92
  4. Step 4: Simplify right side
    195,327x = 26,413,683,610.10
  5. Step 5: Solve for x
    x = 26,413,683,610.10/195,327
  6. Step 6: Final answer
    x = 135,228.02

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