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Finding the Fourth Proportional to 141,805.32, 195,682.13 and 78,143.12

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Solution

The fourth proportional to 141,805.32, 195,682.13 and 78,143.12 is: 107,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,805.32 : 195,682.13 = 78,143.12 : x
  2. Step 2: Convert to fraction form
    141,805.32/195,682.13 = 78,143.12/x
  3. Step 3: Cross multiply
    141,805.32x = 195,682.13 × 78,143.12
  4. Step 4: Simplify right side
    141,805.32x = 15,291,210,797.32
  5. Step 5: Solve for x
    x = 15,291,210,797.32/141,805.32
  6. Step 6: Final answer
    x = 107,832.42

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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.