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Finding the Fourth Proportional to 272,851.38, 409,199.31 and 106,600.50

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Solution

The fourth proportional to 272,851.38, 409,199.31 and 106,600.50 is: 159,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,851.38 : 409,199.31 = 106,600.50 : x
  2. Step 2: Convert to fraction form
    272,851.38/409,199.31 = 106,600.50/x
  3. Step 3: Cross multiply
    272,851.38x = 409,199.31 × 106,600.50
  4. Step 4: Simplify right side
    272,851.38x = 43,620,851,045.66
  5. Step 5: Solve for x
    x = 43,620,851,045.66/272,851.38
  6. Step 6: Final answer
    x = 159,870.37

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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.