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Finding the Fourth Proportional to 177,786.86, 266,640.27 and 51,398.93

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Solution

The fourth proportional to 177,786.86, 266,640.27 and 51,398.93 is: 77,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,786.86 : 266,640.27 = 51,398.93 : x
  2. Step 2: Convert to fraction form
    177,786.86/266,640.27 = 51,398.93/x
  3. Step 3: Cross multiply
    177,786.86x = 266,640.27 × 51,398.93
  4. Step 4: Simplify right side
    177,786.86x = 13,705,024,572.91
  5. Step 5: Solve for x
    x = 13,705,024,572.91/177,786.86
  6. Step 6: Final answer
    x = 77,086.83

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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.