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Finding the Fourth Proportional to 253,669.72, 350,063.34 and 146,239.24

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Solution

The fourth proportional to 253,669.72, 350,063.34 and 146,239.24 is: 201,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,669.72 : 350,063.34 = 146,239.24 : x
  2. Step 2: Convert to fraction form
    253,669.72/350,063.34 = 146,239.24/x
  3. Step 3: Cross multiply
    253,669.72x = 350,063.34 × 146,239.24
  4. Step 4: Simplify right side
    253,669.72x = 51,192,996,793.46
  5. Step 5: Solve for x
    x = 51,192,996,793.46/253,669.72
  6. Step 6: Final answer
    x = 201,809.65

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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.