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Finding the Fourth Proportional to 233,596.50, 350,453.28 and 67,384.50

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Solution

The fourth proportional to 233,596.50, 350,453.28 and 67,384.50 is: 101,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,596.50 : 350,453.28 = 67,384.50 : x
  2. Step 2: Convert to fraction form
    233,596.50/350,453.28 = 67,384.50/x
  3. Step 3: Cross multiply
    233,596.50x = 350,453.28 × 67,384.50
  4. Step 4: Simplify right side
    233,596.50x = 23,615,119,046.16
  5. Step 5: Solve for x
    x = 23,615,119,046.16/233,596.50
  6. Step 6: Final answer
    x = 101,093.63

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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.