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Finding the Fourth Proportional to 202,591.50, 303,783.45 and 107,875.50

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Solution

The fourth proportional to 202,591.50, 303,783.45 and 107,875.50 is: 161,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.50 : 303,783.45 = 107,875.50 : x
  2. Step 2: Convert to fraction form
    202,591.50/303,783.45 = 107,875.50/x
  3. Step 3: Cross multiply
    202,591.50x = 303,783.45 × 107,875.50
  4. Step 4: Simplify right side
    202,591.50x = 32,770,791,560.48
  5. Step 5: Solve for x
    x = 32,770,791,560.48/202,591.50
  6. Step 6: Final answer
    x = 161,757.98

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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.