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Finding the Fourth Proportional to 140,814, 194,293.08 and 83,471.40

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Solution

The fourth proportional to 140,814, 194,293.08 and 83,471.40 is: 115,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,814 : 194,293.08 = 83,471.40 : x
  2. Step 2: Convert to fraction form
    140,814/194,293.08 = 83,471.40/x
  3. Step 3: Cross multiply
    140,814x = 194,293.08 × 83,471.40
  4. Step 4: Simplify right side
    140,814x = 16,217,915,397.91
  5. Step 5: Solve for x
    x = 16,217,915,397.91/140,814
  6. Step 6: Final answer
    x = 115,172.61

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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.