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Finding the Fourth Proportional to 253,783, 350,062.16 and 163,257

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Solution

The fourth proportional to 253,783, 350,062.16 and 163,257 is: 225,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,783 : 350,062.16 = 163,257 : x
  2. Step 2: Convert to fraction form
    253,783/350,062.16 = 163,257/x
  3. Step 3: Cross multiply
    253,783x = 350,062.16 × 163,257
  4. Step 4: Simplify right side
    253,783x = 57,150,098,055.12
  5. Step 5: Solve for x
    x = 57,150,098,055.12/253,783
  6. Step 6: Final answer
    x = 225,192.78

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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.