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Finding the Fourth Proportional to 107,823.20, 161,734.80 and 100,824.80

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Solution

The fourth proportional to 107,823.20, 161,734.80 and 100,824.80 is: 151,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823.20 : 161,734.80 = 100,824.80 : x
  2. Step 2: Convert to fraction form
    107,823.20/161,734.80 = 100,824.80/x
  3. Step 3: Cross multiply
    107,823.20x = 161,734.80 × 100,824.80
  4. Step 4: Simplify right side
    107,823.20x = 16,306,878,863.04
  5. Step 5: Solve for x
    x = 16,306,878,863.04/107,823.20
  6. Step 6: Final answer
    x = 151,237.20

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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.