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Finding the Fourth Proportional to 253,748.32, 350,209.97 and 146,297.32

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Solution

The fourth proportional to 253,748.32, 350,209.97 and 146,297.32 is: 201,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,748.32 : 350,209.97 = 146,297.32 : x
  2. Step 2: Convert to fraction form
    253,748.32/350,209.97 = 146,297.32/x
  3. Step 3: Cross multiply
    253,748.32x = 350,209.97 × 146,297.32
  4. Step 4: Simplify right side
    253,748.32x = 51,234,780,048.28
  5. Step 5: Solve for x
    x = 51,234,780,048.28/253,748.32
  6. Step 6: Final answer
    x = 201,911.80

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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.