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Finding the Fourth Proportional to 283,108.50, 390,692.52 and 155,786.85

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Solution

The fourth proportional to 283,108.50, 390,692.52 and 155,786.85 is: 214,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,108.50 : 390,692.52 = 155,786.85 : x
  2. Step 2: Convert to fraction form
    283,108.50/390,692.52 = 155,786.85/x
  3. Step 3: Cross multiply
    283,108.50x = 390,692.52 × 155,786.85
  4. Step 4: Simplify right side
    283,108.50x = 60,864,757,009.36
  5. Step 5: Solve for x
    x = 60,864,757,009.36/283,108.50
  6. Step 6: Final answer
    x = 214,987.39

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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.