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Finding the Fourth Proportional to 195,953.98, 293,955.28 and 55,723.54

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Solution

The fourth proportional to 195,953.98, 293,955.28 and 55,723.54 is: 83,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,953.98 : 293,955.28 = 55,723.54 : x
  2. Step 2: Convert to fraction form
    195,953.98/293,955.28 = 55,723.54/x
  3. Step 3: Cross multiply
    195,953.98x = 293,955.28 × 55,723.54
  4. Step 4: Simplify right side
    195,953.98x = 16,380,228,803.29
  5. Step 5: Solve for x
    x = 16,380,228,803.29/195,953.98
  6. Step 6: Final answer
    x = 83,592.22

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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.