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Finding the Fourth Proportional to 141,540.38, 195,328.70 and 77,878.30

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Solution

The fourth proportional to 141,540.38, 195,328.70 and 77,878.30 is: 107,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,540.38 : 195,328.70 = 77,878.30 : x
  2. Step 2: Convert to fraction form
    141,540.38/195,328.70 = 77,878.30/x
  3. Step 3: Cross multiply
    141,540.38x = 195,328.70 × 77,878.30
  4. Step 4: Simplify right side
    141,540.38x = 15,211,867,097.21
  5. Step 5: Solve for x
    x = 15,211,867,097.21/141,540.38
  6. Step 6: Final answer
    x = 107,473.69

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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.