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Finding the Fourth Proportional to 202,984.38, 280,090.72 and 116,911.35

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Solution

The fourth proportional to 202,984.38, 280,090.72 and 116,911.35 is: 161,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.38 : 280,090.72 = 116,911.35 : x
  2. Step 2: Convert to fraction form
    202,984.38/280,090.72 = 116,911.35/x
  3. Step 3: Cross multiply
    202,984.38x = 280,090.72 × 116,911.35
  4. Step 4: Simplify right side
    202,984.38x = 32,745,785,394.15
  5. Step 5: Solve for x
    x = 32,745,785,394.15/202,984.38
  6. Step 6: Final answer
    x = 161,321.70

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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.