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Finding the Fourth Proportional to 196,863.84, 294,852.59 and 137,962.47

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Solution

The fourth proportional to 196,863.84, 294,852.59 and 137,962.47 is: 206,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.84 : 294,852.59 = 137,962.47 : x
  2. Step 2: Convert to fraction form
    196,863.84/294,852.59 = 137,962.47/x
  3. Step 3: Cross multiply
    196,863.84x = 294,852.59 × 137,962.47
  4. Step 4: Simplify right side
    196,863.84x = 40,678,590,912.49
  5. Step 5: Solve for x
    x = 40,678,590,912.49/196,863.84
  6. Step 6: Final answer
    x = 206,633.13

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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.