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Finding the Fourth Proportional to 252,809.49, 348,786.42 and 149,421.99

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Solution

The fourth proportional to 252,809.49, 348,786.42 and 149,421.99 is: 206,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,809.49 : 348,786.42 = 149,421.99 : x
  2. Step 2: Convert to fraction form
    252,809.49/348,786.42 = 149,421.99/x
  3. Step 3: Cross multiply
    252,809.49x = 348,786.42 × 149,421.99
  4. Step 4: Simplify right side
    252,809.49x = 52,116,360,961.38
  5. Step 5: Solve for x
    x = 52,116,360,961.38/252,809.49
  6. Step 6: Final answer
    x = 206,148.75

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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.