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Finding the Fourth Proportional to 178,297.16, 267,347.30 and 73,189.94

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Solution

The fourth proportional to 178,297.16, 267,347.30 and 73,189.94 is: 109,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,297.16 : 267,347.30 = 73,189.94 : x
  2. Step 2: Convert to fraction form
    178,297.16/267,347.30 = 73,189.94/x
  3. Step 3: Cross multiply
    178,297.16x = 267,347.30 × 73,189.94
  4. Step 4: Simplify right side
    178,297.16x = 19,567,131,143.48
  5. Step 5: Solve for x
    x = 19,567,131,143.48/178,297.16
  6. Step 6: Final answer
    x = 109,744.49

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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.