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Finding the Fourth Proportional to 195,632.84, 293,449.26 and 106,837.90

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Solution

The fourth proportional to 195,632.84, 293,449.26 and 106,837.90 is: 160,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,632.84 : 293,449.26 = 106,837.90 : x
  2. Step 2: Convert to fraction form
    195,632.84/293,449.26 = 106,837.90/x
  3. Step 3: Cross multiply
    195,632.84x = 293,449.26 × 106,837.90
  4. Step 4: Simplify right side
    195,632.84x = 31,351,502,694.95
  5. Step 5: Solve for x
    x = 31,351,502,694.95/195,632.84
  6. Step 6: Final answer
    x = 160,256.85

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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.