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Finding the Fourth Proportional to 178,105.61, 267,102.54 and 51,754.59

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Solution

The fourth proportional to 178,105.61, 267,102.54 and 51,754.59 is: 77,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,105.61 : 267,102.54 = 51,754.59 : x
  2. Step 2: Convert to fraction form
    178,105.61/267,102.54 = 51,754.59/x
  3. Step 3: Cross multiply
    178,105.61x = 267,102.54 × 51,754.59
  4. Step 4: Simplify right side
    178,105.61x = 13,823,782,445.66
  5. Step 5: Solve for x
    x = 13,823,782,445.66/178,105.61
  6. Step 6: Final answer
    x = 77,615.65

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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.