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Finding the Fourth Proportional to 196,874, 295,425.71 and 83,014.84

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Solution

The fourth proportional to 196,874, 295,425.71 and 83,014.84 is: 124,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,874 : 295,425.71 = 83,014.84 : x
  2. Step 2: Convert to fraction form
    196,874/295,425.71 = 83,014.84/x
  3. Step 3: Cross multiply
    196,874x = 295,425.71 × 83,014.84
  4. Step 4: Simplify right side
    196,874x = 24,524,718,047.54
  5. Step 5: Solve for x
    x = 24,524,718,047.54/196,874
  6. Step 6: Final answer
    x = 124,570.63

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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.