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Finding the Fourth Proportional to 502,164.63, 753,231.30 and 123,086.45

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Solution

The fourth proportional to 502,164.63, 753,231.30 and 123,086.45 is: 184,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,164.63 : 753,231.30 = 123,086.45 : x
  2. Step 2: Convert to fraction form
    502,164.63/753,231.30 = 123,086.45/x
  3. Step 3: Cross multiply
    502,164.63x = 753,231.30 × 123,086.45
  4. Step 4: Simplify right side
    502,164.63x = 92,712,568,167.39
  5. Step 5: Solve for x
    x = 92,712,568,167.39/502,164.63
  6. Step 6: Final answer
    x = 184,625.84

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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.