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Finding the Fourth Proportional to 200,896.83, 301,335.48 and 74,561.67

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Solution

The fourth proportional to 200,896.83, 301,335.48 and 74,561.67 is: 111,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,896.83 : 301,335.48 = 74,561.67 : x
  2. Step 2: Convert to fraction form
    200,896.83/301,335.48 = 74,561.67/x
  3. Step 3: Cross multiply
    200,896.83x = 301,335.48 × 74,561.67
  4. Step 4: Simplify right side
    200,896.83x = 22,468,076,619.05
  5. Step 5: Solve for x
    x = 22,468,076,619.05/200,896.83
  6. Step 6: Final answer
    x = 111,838.88

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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.