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Finding the Fourth Proportional to 253,520.49, 349,863 and 146,072.37

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Solution

The fourth proportional to 253,520.49, 349,863 and 146,072.37 is: 201,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,520.49 : 349,863 = 146,072.37 : x
  2. Step 2: Convert to fraction form
    253,520.49/349,863 = 146,072.37/x
  3. Step 3: Cross multiply
    253,520.49x = 349,863 × 146,072.37
  4. Step 4: Simplify right side
    253,520.49x = 51,105,317,585.31
  5. Step 5: Solve for x
    x = 51,105,317,585.31/253,520.49
  6. Step 6: Final answer
    x = 201,582.59

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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.