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Finding the Fourth Proportional to 142,793.04, 197,051.04 and 82,363.80

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Solution

The fourth proportional to 142,793.04, 197,051.04 and 82,363.80 is: 113,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,793.04 : 197,051.04 = 82,363.80 : x
  2. Step 2: Convert to fraction form
    142,793.04/197,051.04 = 82,363.80/x
  3. Step 3: Cross multiply
    142,793.04x = 197,051.04 × 82,363.80
  4. Step 4: Simplify right side
    142,793.04x = 16,229,872,448.35
  5. Step 5: Solve for x
    x = 16,229,872,448.35/142,793.04
  6. Step 6: Final answer
    x = 113,660.11

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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.