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Finding the Fourth Proportional to 182,126.44, 251,359.14 and 106,705

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Solution

The fourth proportional to 182,126.44, 251,359.14 and 106,705 is: 147,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,126.44 : 251,359.14 = 106,705 : x
  2. Step 2: Convert to fraction form
    182,126.44/251,359.14 = 106,705/x
  3. Step 3: Cross multiply
    182,126.44x = 251,359.14 × 106,705
  4. Step 4: Simplify right side
    182,126.44x = 26,821,277,033.70
  5. Step 5: Solve for x
    x = 26,821,277,033.70/182,126.44
  6. Step 6: Final answer
    x = 147,267.34

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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.