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Finding the Fourth Proportional to 177,694.72, 266,502.78 and 51,307.54

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Solution

The fourth proportional to 177,694.72, 266,502.78 and 51,307.54 is: 76,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,694.72 : 266,502.78 = 51,307.54 : x
  2. Step 2: Convert to fraction form
    177,694.72/266,502.78 = 51,307.54/x
  3. Step 3: Cross multiply
    177,694.72x = 266,502.78 × 51,307.54
  4. Step 4: Simplify right side
    177,694.72x = 13,673,602,044.96
  5. Step 5: Solve for x
    x = 13,673,602,044.96/177,694.72
  6. Step 6: Final answer
    x = 76,949.96

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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.