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Finding the Fourth Proportional to 253,744.54, 350,204.77 and 146,293.58

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Solution

The fourth proportional to 253,744.54, 350,204.77 and 146,293.58 is: 201,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,744.54 : 350,204.77 = 146,293.58 : x
  2. Step 2: Convert to fraction form
    253,744.54/350,204.77 = 146,293.58/x
  3. Step 3: Cross multiply
    253,744.54x = 350,204.77 × 146,293.58
  4. Step 4: Simplify right side
    253,744.54x = 51,232,709,536.38
  5. Step 5: Solve for x
    x = 51,232,709,536.38/253,744.54
  6. Step 6: Final answer
    x = 201,906.65

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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.