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Finding the Fourth Proportional to 202,334.30, 303,501.45 and 107,855.90

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Solution

The fourth proportional to 202,334.30, 303,501.45 and 107,855.90 is: 161,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,334.30 : 303,501.45 = 107,855.90 : x
  2. Step 2: Convert to fraction form
    202,334.30/303,501.45 = 107,855.90/x
  3. Step 3: Cross multiply
    202,334.30x = 303,501.45 × 107,855.90
  4. Step 4: Simplify right side
    202,334.30x = 32,734,422,041.06
  5. Step 5: Solve for x
    x = 32,734,422,041.06/202,334.30
  6. Step 6: Final answer
    x = 161,783.85

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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.