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Finding the Fourth Proportional to 178,002.36, 267,003.54 and 72,778.50

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Solution

The fourth proportional to 178,002.36, 267,003.54 and 72,778.50 is: 109,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.36 : 267,003.54 = 72,778.50 : x
  2. Step 2: Convert to fraction form
    178,002.36/267,003.54 = 72,778.50/x
  3. Step 3: Cross multiply
    178,002.36x = 267,003.54 × 72,778.50
  4. Step 4: Simplify right side
    178,002.36x = 19,432,117,135.89
  5. Step 5: Solve for x
    x = 19,432,117,135.89/178,002.36
  6. Step 6: Final answer
    x = 109,167.75

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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.