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Finding the Fourth Proportional to 176,721.86, 265,107.41 and 56,782.42

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Solution

The fourth proportional to 176,721.86, 265,107.41 and 56,782.42 is: 85,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,721.86 : 265,107.41 = 56,782.42 : x
  2. Step 2: Convert to fraction form
    176,721.86/265,107.41 = 56,782.42/x
  3. Step 3: Cross multiply
    176,721.86x = 265,107.41 × 56,782.42
  4. Step 4: Simplify right side
    176,721.86x = 15,053,440,299.73
  5. Step 5: Solve for x
    x = 15,053,440,299.73/176,721.86
  6. Step 6: Final answer
    x = 85,181.54

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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.