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Finding the Fourth Proportional to 203,223.26, 304,834.92 and 84,830.02

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Solution

The fourth proportional to 203,223.26, 304,834.92 and 84,830.02 is: 127,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,223.26 : 304,834.92 = 84,830.02 : x
  2. Step 2: Convert to fraction form
    203,223.26/304,834.92 = 84,830.02/x
  3. Step 3: Cross multiply
    203,223.26x = 304,834.92 × 84,830.02
  4. Step 4: Simplify right side
    203,223.26x = 25,859,152,360.30
  5. Step 5: Solve for x
    x = 25,859,152,360.30/203,223.26
  6. Step 6: Final answer
    x = 127,245.04

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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.