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Finding the Fourth Proportional to 133,218.52, 199,823.16 and 33,379.56

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Solution

The fourth proportional to 133,218.52, 199,823.16 and 33,379.56 is: 50,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218.52 : 199,823.16 = 33,379.56 : x
  2. Step 2: Convert to fraction form
    133,218.52/199,823.16 = 33,379.56/x
  3. Step 3: Cross multiply
    133,218.52x = 199,823.16 × 33,379.56
  4. Step 4: Simplify right side
    133,218.52x = 6,670,009,158.61
  5. Step 5: Solve for x
    x = 6,670,009,158.61/133,218.52
  6. Step 6: Final answer
    x = 50,068.18

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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.