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Finding the Fourth Proportional to 178,004.66, 267,006.26 and 72,823.56

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Solution

The fourth proportional to 178,004.66, 267,006.26 and 72,823.56 is: 109,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004.66 : 267,006.26 = 72,823.56 : x
  2. Step 2: Convert to fraction form
    178,004.66/267,006.26 = 72,823.56/x
  3. Step 3: Cross multiply
    178,004.66x = 267,006.26 × 72,823.56
  4. Step 4: Simplify right side
    178,004.66x = 19,444,346,395.49
  5. Step 5: Solve for x
    x = 19,444,346,395.49/178,004.66
  6. Step 6: Final answer
    x = 109,235.04

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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.