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Finding the Fourth Proportional to 106,729, 147,288.96 and 58,985.44

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Solution

The fourth proportional to 106,729, 147,288.96 and 58,985.44 is: 81,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,729 : 147,288.96 = 58,985.44 : x
  2. Step 2: Convert to fraction form
    106,729/147,288.96 = 58,985.44/x
  3. Step 3: Cross multiply
    106,729x = 147,288.96 × 58,985.44
  4. Step 4: Simplify right side
    106,729x = 8,687,904,112.74
  5. Step 5: Solve for x
    x = 8,687,904,112.74/106,729
  6. Step 6: Final answer
    x = 81,401.53

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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.