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Finding the Fourth Proportional to 203,461.38, 280,765.26 and 112,811.94

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Solution

The fourth proportional to 203,461.38, 280,765.26 and 112,811.94 is: 155,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.38 : 280,765.26 = 112,811.94 : x
  2. Step 2: Convert to fraction form
    203,461.38/280,765.26 = 112,811.94/x
  3. Step 3: Cross multiply
    203,461.38x = 280,765.26 × 112,811.94
  4. Step 4: Simplify right side
    203,461.38x = 31,673,673,665.20
  5. Step 5: Solve for x
    x = 31,673,673,665.20/203,461.38
  6. Step 6: Final answer
    x = 155,674.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.