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Finding the Fourth Proportional to 253,519.86, 349,856.82 and 151,540.38

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Solution

The fourth proportional to 253,519.86, 349,856.82 and 151,540.38 is: 209,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,519.86 : 349,856.82 = 151,540.38 : x
  2. Step 2: Convert to fraction form
    253,519.86/349,856.82 = 151,540.38/x
  3. Step 3: Cross multiply
    253,519.86x = 349,856.82 × 151,540.38
  4. Step 4: Simplify right side
    253,519.86x = 53,017,435,448.39
  5. Step 5: Solve for x
    x = 53,017,435,448.39/253,519.86
  6. Step 6: Final answer
    x = 209,125.37

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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.