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Finding the Fourth Proportional to 253,768.56, 350,042.16 and 163,242.48

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Solution

The fourth proportional to 253,768.56, 350,042.16 and 163,242.48 is: 225,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,768.56 : 350,042.16 = 163,242.48 : x
  2. Step 2: Convert to fraction form
    253,768.56/350,042.16 = 163,242.48/x
  3. Step 3: Cross multiply
    253,768.56x = 350,042.16 × 163,242.48
  4. Step 4: Simplify right side
    253,768.56x = 57,141,750,302.96
  5. Step 5: Solve for x
    x = 57,141,750,302.96/253,768.56
  6. Step 6: Final answer
    x = 225,172.69

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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.