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Finding the Fourth Proportional to 206,503.64, 309,756.52 and 94,107.56

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Solution

The fourth proportional to 206,503.64, 309,756.52 and 94,107.56 is: 141,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,503.64 : 309,756.52 = 94,107.56 : x
  2. Step 2: Convert to fraction form
    206,503.64/309,756.52 = 94,107.56/x
  3. Step 3: Cross multiply
    206,503.64x = 309,756.52 × 94,107.56
  4. Step 4: Simplify right side
    206,503.64x = 29,150,430,291.29
  5. Step 5: Solve for x
    x = 29,150,430,291.29/206,503.64
  6. Step 6: Final answer
    x = 141,161.82

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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.