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Finding the Fourth Proportional to 123,108.94, 184,660.16 and 38,865.70

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Solution

The fourth proportional to 123,108.94, 184,660.16 and 38,865.70 is: 58,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,108.94 : 184,660.16 = 38,865.70 : x
  2. Step 2: Convert to fraction form
    123,108.94/184,660.16 = 38,865.70/x
  3. Step 3: Cross multiply
    123,108.94x = 184,660.16 × 38,865.70
  4. Step 4: Simplify right side
    123,108.94x = 7,176,946,380.51
  5. Step 5: Solve for x
    x = 7,176,946,380.51/123,108.94
  6. Step 6: Final answer
    x = 58,297.52

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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.