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Finding the Fourth Proportional to 182,128.44, 251,361.90 and 106,707

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Solution

The fourth proportional to 182,128.44, 251,361.90 and 106,707 is: 147,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,128.44 : 251,361.90 = 106,707 : x
  2. Step 2: Convert to fraction form
    182,128.44/251,361.90 = 106,707/x
  3. Step 3: Cross multiply
    182,128.44x = 251,361.90 × 106,707
  4. Step 4: Simplify right side
    182,128.44x = 26,822,074,263.30
  5. Step 5: Solve for x
    x = 26,822,074,263.30/182,128.44
  6. Step 6: Final answer
    x = 147,270.10

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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.