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Finding the Fourth Proportional to 501,212.80, 751,851.96 and 146,197

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Solution

The fourth proportional to 501,212.80, 751,851.96 and 146,197 is: 219,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,212.80 : 751,851.96 = 146,197 : x
  2. Step 2: Convert to fraction form
    501,212.80/751,851.96 = 146,197/x
  3. Step 3: Cross multiply
    501,212.80x = 751,851.96 × 146,197
  4. Step 4: Simplify right side
    501,212.80x = 109,918,500,996.12
  5. Step 5: Solve for x
    x = 109,918,500,996.12/501,212.80
  6. Step 6: Final answer
    x = 219,305.06

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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.