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Finding the Fourth Proportional to 202,165.70, 302,847.60 and 177,233.90

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Solution

The fourth proportional to 202,165.70, 302,847.60 and 177,233.90 is: 265,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.70 : 302,847.60 = 177,233.90 : x
  2. Step 2: Convert to fraction form
    202,165.70/302,847.60 = 177,233.90/x
  3. Step 3: Cross multiply
    202,165.70x = 302,847.60 × 177,233.90
  4. Step 4: Simplify right side
    202,165.70x = 53,674,861,253.64
  5. Step 5: Solve for x
    x = 53,674,861,253.64/202,165.70
  6. Step 6: Final answer
    x = 265,499.35

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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.