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Finding the Fourth Proportional to 195,689.34, 293,536.76 and 55,447.97

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Solution

The fourth proportional to 195,689.34, 293,536.76 and 55,447.97 is: 83,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,689.34 : 293,536.76 = 55,447.97 : x
  2. Step 2: Convert to fraction form
    195,689.34/293,536.76 = 55,447.97/x
  3. Step 3: Cross multiply
    195,689.34x = 293,536.76 × 55,447.97
  4. Step 4: Simplify right side
    195,689.34x = 16,276,015,717.45
  5. Step 5: Solve for x
    x = 16,276,015,717.45/195,689.34
  6. Step 6: Final answer
    x = 83,172.73

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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.