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Finding the Fourth Proportional to 149,007.20, 205,627 and 81,023.59

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Solution

The fourth proportional to 149,007.20, 205,627 and 81,023.59 is: 111,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,007.20 : 205,627 = 81,023.59 : x
  2. Step 2: Convert to fraction form
    149,007.20/205,627 = 81,023.59/x
  3. Step 3: Cross multiply
    149,007.20x = 205,627 × 81,023.59
  4. Step 4: Simplify right side
    149,007.20x = 16,660,637,740.93
  5. Step 5: Solve for x
    x = 16,660,637,740.93/149,007.20
  6. Step 6: Final answer
    x = 111,810.96

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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.