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Finding the Fourth Proportional to 253,780.14, 350,058.02 and 163,254

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Solution

The fourth proportional to 253,780.14, 350,058.02 and 163,254 is: 225,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,780.14 : 350,058.02 = 163,254 : x
  2. Step 2: Convert to fraction form
    253,780.14/350,058.02 = 163,254/x
  3. Step 3: Cross multiply
    253,780.14x = 350,058.02 × 163,254
  4. Step 4: Simplify right side
    253,780.14x = 57,148,371,997.08
  5. Step 5: Solve for x
    x = 57,148,371,997.08/253,780.14
  6. Step 6: Final answer
    x = 225,188.51

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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.