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Finding the Fourth Proportional to 196,047.44, 293,952.54 and 87,957.01

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Solution

The fourth proportional to 196,047.44, 293,952.54 and 87,957.01 is: 131,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,047.44 : 293,952.54 = 87,957.01 : x
  2. Step 2: Convert to fraction form
    196,047.44/293,952.54 = 87,957.01/x
  3. Step 3: Cross multiply
    196,047.44x = 293,952.54 × 87,957.01
  4. Step 4: Simplify right side
    196,047.44x = 25,855,187,197.58
  5. Step 5: Solve for x
    x = 25,855,187,197.58/196,047.44
  6. Step 6: Final answer
    x = 131,882.30

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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.