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Finding the Fourth Proportional to 141,093.03, 194,695.52 and 83,722.46

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Solution

The fourth proportional to 141,093.03, 194,695.52 and 83,722.46 is: 115,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,093.03 : 194,695.52 = 83,722.46 : x
  2. Step 2: Convert to fraction form
    141,093.03/194,695.52 = 83,722.46/x
  3. Step 3: Cross multiply
    141,093.03x = 194,695.52 × 83,722.46
  4. Step 4: Simplify right side
    141,093.03x = 16,300,387,885.38
  5. Step 5: Solve for x
    x = 16,300,387,885.38/141,093.03
  6. Step 6: Final answer
    x = 115,529.36

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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.