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Finding the Fourth Proportional to 202,998.24, 280,114.20 and 116,969.76

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Solution

The fourth proportional to 202,998.24, 280,114.20 and 116,969.76 is: 161,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,998.24 : 280,114.20 = 116,969.76 : x
  2. Step 2: Convert to fraction form
    202,998.24/280,114.20 = 116,969.76/x
  3. Step 3: Cross multiply
    202,998.24x = 280,114.20 × 116,969.76
  4. Step 4: Simplify right side
    202,998.24x = 32,764,890,746.59
  5. Step 5: Solve for x
    x = 32,764,890,746.59/202,998.24
  6. Step 6: Final answer
    x = 161,404.80

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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.