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Finding the Fourth Proportional to 178,222.94, 267,334.78 and 73,023.02

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Solution

The fourth proportional to 178,222.94, 267,334.78 and 73,023.02 is: 109,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,222.94 : 267,334.78 = 73,023.02 : x
  2. Step 2: Convert to fraction form
    178,222.94/267,334.78 = 73,023.02/x
  3. Step 3: Cross multiply
    178,222.94x = 267,334.78 × 73,023.02
  4. Step 4: Simplify right side
    178,222.94x = 19,521,592,986.64
  5. Step 5: Solve for x
    x = 19,521,592,986.64/178,222.94
  6. Step 6: Final answer
    x = 109,534.68

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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.