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Finding the Fourth Proportional to 253,505.86, 349,735.82 and 146,018.46

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Solution

The fourth proportional to 253,505.86, 349,735.82 and 146,018.46 is: 201,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,505.86 : 349,735.82 = 146,018.46 : x
  2. Step 2: Convert to fraction form
    253,505.86/349,735.82 = 146,018.46/x
  3. Step 3: Cross multiply
    253,505.86x = 349,735.82 × 146,018.46
  4. Step 4: Simplify right side
    253,505.86x = 51,067,885,843.24
  5. Step 5: Solve for x
    x = 51,067,885,843.24/253,505.86
  6. Step 6: Final answer
    x = 201,446.57

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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.