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Finding the Fourth Proportional to 231,274.52, 319,212.18 and 150,561.50

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Solution

The fourth proportional to 231,274.52, 319,212.18 and 150,561.50 is: 207,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,274.52 : 319,212.18 = 150,561.50 : x
  2. Step 2: Convert to fraction form
    231,274.52/319,212.18 = 150,561.50/x
  3. Step 3: Cross multiply
    231,274.52x = 319,212.18 × 150,561.50
  4. Step 4: Simplify right side
    231,274.52x = 48,061,064,639.07
  5. Step 5: Solve for x
    x = 48,061,064,639.07/231,274.52
  6. Step 6: Final answer
    x = 207,809.60

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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.