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Finding the Fourth Proportional to 107,906.40, 161,871.36 and 41,403

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Solution

The fourth proportional to 107,906.40, 161,871.36 and 41,403 is: 62,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906.40 : 161,871.36 = 41,403 : x
  2. Step 2: Convert to fraction form
    107,906.40/161,871.36 = 41,403/x
  3. Step 3: Cross multiply
    107,906.40x = 161,871.36 × 41,403
  4. Step 4: Simplify right side
    107,906.40x = 6,701,959,918.08
  5. Step 5: Solve for x
    x = 6,701,959,918.08/107,906.40
  6. Step 6: Final answer
    x = 62,109.01

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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.