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Finding the Fourth Proportional to 141,164.64, 194,733.72 and 114,337.44

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Solution

The fourth proportional to 141,164.64, 194,733.72 and 114,337.44 is: 157,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,164.64 : 194,733.72 = 114,337.44 : x
  2. Step 2: Convert to fraction form
    141,164.64/194,733.72 = 114,337.44/x
  3. Step 3: Cross multiply
    141,164.64x = 194,733.72 × 114,337.44
  4. Step 4: Simplify right side
    141,164.64x = 22,265,355,026.48
  5. Step 5: Solve for x
    x = 22,265,355,026.48/141,164.64
  6. Step 6: Final answer
    x = 157,726.15

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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.