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Finding the Fourth Proportional to 202,250.40, 302,857.20 and 149,373.60

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Solution

The fourth proportional to 202,250.40, 302,857.20 and 149,373.60 is: 223,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,250.40 : 302,857.20 = 149,373.60 : x
  2. Step 2: Convert to fraction form
    202,250.40/302,857.20 = 149,373.60/x
  3. Step 3: Cross multiply
    202,250.40x = 302,857.20 × 149,373.60
  4. Step 4: Simplify right side
    202,250.40x = 45,238,870,249.92
  5. Step 5: Solve for x
    x = 45,238,870,249.92/202,250.40
  6. Step 6: Final answer
    x = 223,677.53

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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.