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Finding the Fourth Proportional to 205,463.82, 308,234.61 and 116,817.42

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Solution

The fourth proportional to 205,463.82, 308,234.61 and 116,817.42 is: 175,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,463.82 : 308,234.61 = 116,817.42 : x
  2. Step 2: Convert to fraction form
    205,463.82/308,234.61 = 116,817.42/x
  3. Step 3: Cross multiply
    205,463.82x = 308,234.61 × 116,817.42
  4. Step 4: Simplify right side
    205,463.82x = 36,007,171,894.91
  5. Step 5: Solve for x
    x = 36,007,171,894.91/205,463.82
  6. Step 6: Final answer
    x = 175,248.24

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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.