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Finding the Fourth Proportional to 141,451.76, 195,199.73 and 84,091.19

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Solution

The fourth proportional to 141,451.76, 195,199.73 and 84,091.19 is: 116,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,451.76 : 195,199.73 = 84,091.19 : x
  2. Step 2: Convert to fraction form
    141,451.76/195,199.73 = 84,091.19/x
  3. Step 3: Cross multiply
    141,451.76x = 195,199.73 × 84,091.19
  4. Step 4: Simplify right side
    141,451.76x = 16,414,577,583.38
  5. Step 5: Solve for x
    x = 16,414,577,583.38/141,451.76
  6. Step 6: Final answer
    x = 116,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.