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Finding the Fourth Proportional to 202,065.60, 303,074.10 and 83,724.60

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Solution

The fourth proportional to 202,065.60, 303,074.10 and 83,724.60 is: 125,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,065.60 : 303,074.10 = 83,724.60 : x
  2. Step 2: Convert to fraction form
    202,065.60/303,074.10 = 83,724.60/x
  3. Step 3: Cross multiply
    202,065.60x = 303,074.10 × 83,724.60
  4. Step 4: Simplify right side
    202,065.60x = 25,374,757,792.86
  5. Step 5: Solve for x
    x = 25,374,757,792.86/202,065.60
  6. Step 6: Final answer
    x = 125,576.83

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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.