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Finding the Fourth Proportional to 141,695.63, 195,540.14 and 77,164.98

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Solution

The fourth proportional to 141,695.63, 195,540.14 and 77,164.98 is: 106,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,695.63 : 195,540.14 = 77,164.98 : x
  2. Step 2: Convert to fraction form
    141,695.63/195,540.14 = 77,164.98/x
  3. Step 3: Cross multiply
    141,695.63x = 195,540.14 × 77,164.98
  4. Step 4: Simplify right side
    141,695.63x = 15,088,850,451.93
  5. Step 5: Solve for x
    x = 15,088,850,451.93/141,695.63
  6. Step 6: Final answer
    x = 106,487.76

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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.