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Finding the Fourth Proportional to 141,863.24, 195,783.06 and 78,213.48

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Solution

The fourth proportional to 141,863.24, 195,783.06 and 78,213.48 is: 107,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,863.24 : 195,783.06 = 78,213.48 : x
  2. Step 2: Convert to fraction form
    141,863.24/195,783.06 = 78,213.48/x
  3. Step 3: Cross multiply
    141,863.24x = 195,783.06 × 78,213.48
  4. Step 4: Simplify right side
    141,863.24x = 15,312,874,447.65
  5. Step 5: Solve for x
    x = 15,312,874,447.65/141,863.24
  6. Step 6: Final answer
    x = 107,941.10

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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.