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Finding the Fourth Proportional to 100,222.66, 150,347.82 and 33,681.82

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Solution

The fourth proportional to 100,222.66, 150,347.82 and 33,681.82 is: 50,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.66 : 150,347.82 = 33,681.82 : x
  2. Step 2: Convert to fraction form
    100,222.66/150,347.82 = 33,681.82/x
  3. Step 3: Cross multiply
    100,222.66x = 150,347.82 × 33,681.82
  4. Step 4: Simplify right side
    100,222.66x = 5,063,988,210.63
  5. Step 5: Solve for x
    x = 5,063,988,210.63/100,222.66
  6. Step 6: Final answer
    x = 50,527.38

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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.