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Finding the Fourth Proportional to 149,143.47, 205,820.72 and 82,074.03

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Solution

The fourth proportional to 149,143.47, 205,820.72 and 82,074.03 is: 113,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,143.47 : 205,820.72 = 82,074.03 : x
  2. Step 2: Convert to fraction form
    149,143.47/205,820.72 = 82,074.03/x
  3. Step 3: Cross multiply
    149,143.47x = 205,820.72 × 82,074.03
  4. Step 4: Simplify right side
    149,143.47x = 16,892,535,537.53
  5. Step 5: Solve for x
    x = 16,892,535,537.53/149,143.47
  6. Step 6: Final answer
    x = 113,263.66

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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.