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Finding the Fourth Proportional to 196,101, 294,195.24 and 71,442

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Solution

The fourth proportional to 196,101, 294,195.24 and 71,442 is: 107,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,101 : 294,195.24 = 71,442 : x
  2. Step 2: Convert to fraction form
    196,101/294,195.24 = 71,442/x
  3. Step 3: Cross multiply
    196,101x = 294,195.24 × 71,442
  4. Step 4: Simplify right side
    196,101x = 21,017,896,336.08
  5. Step 5: Solve for x
    x = 21,017,896,336.08/196,101
  6. Step 6: Final answer
    x = 107,178.94

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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.