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Finding the Fourth Proportional to 231,274.02, 319,211.49 and 150,561

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Solution

The fourth proportional to 231,274.02, 319,211.49 and 150,561 is: 207,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,274.02 : 319,211.49 = 150,561 : x
  2. Step 2: Convert to fraction form
    231,274.02/319,211.49 = 150,561/x
  3. Step 3: Cross multiply
    231,274.02x = 319,211.49 × 150,561
  4. Step 4: Simplify right side
    231,274.02x = 48,060,801,145.89
  5. Step 5: Solve for x
    x = 48,060,801,145.89/231,274.02
  6. Step 6: Final answer
    x = 207,808.91

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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.