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Finding the Fourth Proportional to 196,753.98, 294,955.65 and 72,065.82

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Solution

The fourth proportional to 196,753.98, 294,955.65 and 72,065.82 is: 108,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,753.98 : 294,955.65 = 72,065.82 : x
  2. Step 2: Convert to fraction form
    196,753.98/294,955.65 = 72,065.82/x
  3. Step 3: Cross multiply
    196,753.98x = 294,955.65 × 72,065.82
  4. Step 4: Simplify right side
    196,753.98x = 21,256,220,780.88
  5. Step 5: Solve for x
    x = 21,256,220,780.88/196,753.98
  6. Step 6: Final answer
    x = 108,034.51

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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.