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Finding the Fourth Proportional to 178,039.86, 267,058.97 and 72,858.84

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Solution

The fourth proportional to 178,039.86, 267,058.97 and 72,858.84 is: 109,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,039.86 : 267,058.97 = 72,858.84 : x
  2. Step 2: Convert to fraction form
    178,039.86/267,058.97 = 72,858.84/x
  3. Step 3: Cross multiply
    178,039.86x = 267,058.97 × 72,858.84
  4. Step 4: Simplify right side
    178,039.86x = 19,457,606,401.50
  5. Step 5: Solve for x
    x = 19,457,606,401.50/178,039.86
  6. Step 6: Final answer
    x = 109,287.92

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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.