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Finding the Fourth Proportional to 232,738.69, 349,135.38 and 83,000.27

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Solution

The fourth proportional to 232,738.69, 349,135.38 and 83,000.27 is: 124,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,738.69 : 349,135.38 = 83,000.27 : x
  2. Step 2: Convert to fraction form
    232,738.69/349,135.38 = 83,000.27/x
  3. Step 3: Cross multiply
    232,738.69x = 349,135.38 × 83,000.27
  4. Step 4: Simplify right side
    232,738.69x = 28,978,330,806.55
  5. Step 5: Solve for x
    x = 28,978,330,806.55/232,738.69
  6. Step 6: Final answer
    x = 124,510.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.