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Finding the Fourth Proportional to 172,731, 238,369.50 and 97,280.76

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Solution

The fourth proportional to 172,731, 238,369.50 and 97,280.76 is: 134,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,731 : 238,369.50 = 97,280.76 : x
  2. Step 2: Convert to fraction form
    172,731/238,369.50 = 97,280.76/x
  3. Step 3: Cross multiply
    172,731x = 238,369.50 × 97,280.76
  4. Step 4: Simplify right side
    172,731x = 23,188,766,120.82
  5. Step 5: Solve for x
    x = 23,188,766,120.82/172,731
  6. Step 6: Final answer
    x = 134,247.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.