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Finding the Fourth Proportional to 252,496.80, 348,462.48 and 145,101.60

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Solution

The fourth proportional to 252,496.80, 348,462.48 and 145,101.60 is: 200,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,496.80 : 348,462.48 = 145,101.60 : x
  2. Step 2: Convert to fraction form
    252,496.80/348,462.48 = 145,101.60/x
  3. Step 3: Cross multiply
    252,496.80x = 348,462.48 × 145,101.60
  4. Step 4: Simplify right side
    252,496.80x = 50,562,463,387.97
  5. Step 5: Solve for x
    x = 50,562,463,387.97/252,496.80
  6. Step 6: Final answer
    x = 200,249.92

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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.