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Finding the Fourth Proportional to 107,161.54, 160,426.98 and 71,534.49

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Solution

The fourth proportional to 107,161.54, 160,426.98 and 71,534.49 is: 107,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,161.54 : 160,426.98 = 71,534.49 : x
  2. Step 2: Convert to fraction form
    107,161.54/160,426.98 = 71,534.49/x
  3. Step 3: Cross multiply
    107,161.54x = 160,426.98 × 71,534.49
  4. Step 4: Simplify right side
    107,161.54x = 11,476,062,196.54
  5. Step 5: Solve for x
    x = 11,476,062,196.54/107,161.54
  6. Step 6: Final answer
    x = 107,091.24

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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.