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Finding the Fourth Proportional to 107,788.80, 161,683.20 and 106,039.20

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Solution

The fourth proportional to 107,788.80, 161,683.20 and 106,039.20 is: 159,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,788.80 : 161,683.20 = 106,039.20 : x
  2. Step 2: Convert to fraction form
    107,788.80/161,683.20 = 106,039.20/x
  3. Step 3: Cross multiply
    107,788.80x = 161,683.20 × 106,039.20
  4. Step 4: Simplify right side
    107,788.80x = 17,144,757,181.44
  5. Step 5: Solve for x
    x = 17,144,757,181.44/107,788.80
  6. Step 6: Final answer
    x = 159,058.80

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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.