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Finding the Fourth Proportional to 122,983.80, 184,475.70 and 109,205.70

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Solution

The fourth proportional to 122,983.80, 184,475.70 and 109,205.70 is: 163,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,983.80 : 184,475.70 = 109,205.70 : x
  2. Step 2: Convert to fraction form
    122,983.80/184,475.70 = 109,205.70/x
  3. Step 3: Cross multiply
    122,983.80x = 184,475.70 × 109,205.70
  4. Step 4: Simplify right side
    122,983.80x = 20,145,797,951.49
  5. Step 5: Solve for x
    x = 20,145,797,951.49/122,983.80
  6. Step 6: Final answer
    x = 163,808.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.