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Finding the Fourth Proportional to 202,385.66, 303,549.91 and 111,229.47

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Solution

The fourth proportional to 202,385.66, 303,549.91 and 111,229.47 is: 166,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385.66 : 303,549.91 = 111,229.47 : x
  2. Step 2: Convert to fraction form
    202,385.66/303,549.91 = 111,229.47/x
  3. Step 3: Cross multiply
    202,385.66x = 303,549.91 × 111,229.47
  4. Step 4: Simplify right side
    202,385.66x = 33,763,695,329.77
  5. Step 5: Solve for x
    x = 33,763,695,329.77/202,385.66
  6. Step 6: Final answer
    x = 166,828.50

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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.