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Finding the Fourth Proportional to 206,898.16, 310,483.32 and 113,469.52

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Solution

The fourth proportional to 206,898.16, 310,483.32 and 113,469.52 is: 170,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.16 : 310,483.32 = 113,469.52 : x
  2. Step 2: Convert to fraction form
    206,898.16/310,483.32 = 113,469.52/x
  3. Step 3: Cross multiply
    206,898.16x = 310,483.32 × 113,469.52
  4. Step 4: Simplify right side
    206,898.16x = 35,230,393,288.41
  5. Step 5: Solve for x
    x = 35,230,393,288.41/206,898.16
  6. Step 6: Final answer
    x = 170,278.91

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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.