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Finding the Fourth Proportional to 196,373.44, 294,561.42 and 83,959

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Solution

The fourth proportional to 196,373.44, 294,561.42 and 83,959 is: 125,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,373.44 : 294,561.42 = 83,959 : x
  2. Step 2: Convert to fraction form
    196,373.44/294,561.42 = 83,959/x
  3. Step 3: Cross multiply
    196,373.44x = 294,561.42 × 83,959
  4. Step 4: Simplify right side
    196,373.44x = 24,731,082,261.78
  5. Step 5: Solve for x
    x = 24,731,082,261.78/196,373.44
  6. Step 6: Final answer
    x = 125,939.04

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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.