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Finding the Fourth Proportional to 178,002.94, 267,047.26 and 72,822.20

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Solution

The fourth proportional to 178,002.94, 267,047.26 and 72,822.20 is: 109,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.94 : 267,047.26 = 72,822.20 : x
  2. Step 2: Convert to fraction form
    178,002.94/267,047.26 = 72,822.20/x
  3. Step 3: Cross multiply
    178,002.94x = 267,047.26 × 72,822.20
  4. Step 4: Simplify right side
    178,002.94x = 19,446,968,977.17
  5. Step 5: Solve for x
    x = 19,446,968,977.17/178,002.94
  6. Step 6: Final answer
    x = 109,250.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.