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Finding the Fourth Proportional to 252,744.29, 348,747.47 and 145,294.25

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Solution

The fourth proportional to 252,744.29, 348,747.47 and 145,294.25 is: 200,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,744.29 : 348,747.47 = 145,294.25 : x
  2. Step 2: Convert to fraction form
    252,744.29/348,747.47 = 145,294.25/x
  3. Step 3: Cross multiply
    252,744.29x = 348,747.47 × 145,294.25
  4. Step 4: Simplify right side
    252,744.29x = 50,670,999,622.84
  5. Step 5: Solve for x
    x = 50,670,999,622.84/252,744.29
  6. Step 6: Final answer
    x = 200,483.27

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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.