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Finding the Fourth Proportional to 107,792.90, 161,832.41 and 92,098.78

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Solution

The fourth proportional to 107,792.90, 161,832.41 and 92,098.78 is: 138,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792.90 : 161,832.41 = 92,098.78 : x
  2. Step 2: Convert to fraction form
    107,792.90/161,832.41 = 92,098.78/x
  3. Step 3: Cross multiply
    107,792.90x = 161,832.41 × 92,098.78
  4. Step 4: Simplify right side
    107,792.90x = 14,904,567,525.46
  5. Step 5: Solve for x
    x = 14,904,567,525.46/107,792.90
  6. Step 6: Final answer
    x = 138,270.40

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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.