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Finding the Fourth Proportional to 202,441.60, 303,846.70 and 107,751.32

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Solution

The fourth proportional to 202,441.60, 303,846.70 and 107,751.32 is: 161,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,441.60 : 303,846.70 = 107,751.32 : x
  2. Step 2: Convert to fraction form
    202,441.60/303,846.70 = 107,751.32/x
  3. Step 3: Cross multiply
    202,441.60x = 303,846.70 × 107,751.32
  4. Step 4: Simplify right side
    202,441.60x = 32,739,883,002.64
  5. Step 5: Solve for x
    x = 32,739,883,002.64/202,441.60
  6. Step 6: Final answer
    x = 161,725.08

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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.