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Finding the Fourth Proportional to 252,476.67, 348,431.14 and 145,053.66

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Solution

The fourth proportional to 252,476.67, 348,431.14 and 145,053.66 is: 200,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,476.67 : 348,431.14 = 145,053.66 : x
  2. Step 2: Convert to fraction form
    252,476.67/348,431.14 = 145,053.66/x
  3. Step 3: Cross multiply
    252,476.67x = 348,431.14 × 145,053.66
  4. Step 4: Simplify right side
    252,476.67x = 50,541,212,114.97
  5. Step 5: Solve for x
    x = 50,541,212,114.97/252,476.67
  6. Step 6: Final answer
    x = 200,181.71

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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.