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Finding the Fourth Proportional to 195,954.66, 293,981.34 and 55,713.29

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Solution

The fourth proportional to 195,954.66, 293,981.34 and 55,713.29 is: 83,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,954.66 : 293,981.34 = 55,713.29 : x
  2. Step 2: Convert to fraction form
    195,954.66/293,981.34 = 55,713.29/x
  3. Step 3: Cross multiply
    195,954.66x = 293,981.34 × 55,713.29
  4. Step 4: Simplify right side
    195,954.66x = 16,378,666,180.10
  5. Step 5: Solve for x
    x = 16,378,666,180.10/195,954.66
  6. Step 6: Final answer
    x = 83,583.96

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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.