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Finding the Fourth Proportional to 141,899.64, 195,817.84 and 77,370.08

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Solution

The fourth proportional to 141,899.64, 195,817.84 and 77,370.08 is: 106,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,899.64 : 195,817.84 = 77,370.08 : x
  2. Step 2: Convert to fraction form
    141,899.64/195,817.84 = 77,370.08/x
  3. Step 3: Cross multiply
    141,899.64x = 195,817.84 × 77,370.08
  4. Step 4: Simplify right side
    141,899.64x = 15,150,441,559.38
  5. Step 5: Solve for x
    x = 15,150,441,559.38/141,899.64
  6. Step 6: Final answer
    x = 106,768.71

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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.