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Finding the Fourth Proportional to 210,410.52, 315,689.49 and 131,432.28

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Solution

The fourth proportional to 210,410.52, 315,689.49 and 131,432.28 is: 197,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,410.52 : 315,689.49 = 131,432.28 : x
  2. Step 2: Convert to fraction form
    210,410.52/315,689.49 = 131,432.28/x
  3. Step 3: Cross multiply
    210,410.52x = 315,689.49 × 131,432.28
  4. Step 4: Simplify right side
    210,410.52x = 41,491,789,442.74
  5. Step 5: Solve for x
    x = 41,491,789,442.74/210,410.52
  6. Step 6: Final answer
    x = 197,194.46

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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.