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Finding the Fourth Proportional to 196,038.82, 293,855.93 and 82,252.71

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Solution

The fourth proportional to 196,038.82, 293,855.93 and 82,252.71 is: 123,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,038.82 : 293,855.93 = 82,252.71 : x
  2. Step 2: Convert to fraction form
    196,038.82/293,855.93 = 82,252.71/x
  3. Step 3: Cross multiply
    196,038.82x = 293,855.93 × 82,252.71
  4. Step 4: Simplify right side
    196,038.82x = 24,170,446,592.07
  5. Step 5: Solve for x
    x = 24,170,446,592.07/196,038.82
  6. Step 6: Final answer
    x = 123,294.19

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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.