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Finding the Fourth Proportional to 260,876.16, 391,295.10 and 83,335.50

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Solution

The fourth proportional to 260,876.16, 391,295.10 and 83,335.50 is: 124,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,876.16 : 391,295.10 = 83,335.50 : x
  2. Step 2: Convert to fraction form
    260,876.16/391,295.10 = 83,335.50/x
  3. Step 3: Cross multiply
    260,876.16x = 391,295.10 × 83,335.50
  4. Step 4: Simplify right side
    260,876.16x = 32,608,772,806.05
  5. Step 5: Solve for x
    x = 32,608,772,806.05/260,876.16
  6. Step 6: Final answer
    x = 124,997.14

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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.