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Finding the Fourth Proportional to 177,590.90, 266,384.31 and 51,226.97

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Solution

The fourth proportional to 177,590.90, 266,384.31 and 51,226.97 is: 76,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,590.90 : 266,384.31 = 51,226.97 : x
  2. Step 2: Convert to fraction form
    177,590.90/266,384.31 = 51,226.97/x
  3. Step 3: Cross multiply
    177,590.90x = 266,384.31 × 51,226.97
  4. Step 4: Simplify right side
    177,590.90x = 13,646,060,915.96
  5. Step 5: Solve for x
    x = 13,646,060,915.96/177,590.90
  6. Step 6: Final answer
    x = 76,839.87

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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.