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Finding the Fourth Proportional to 214,794.51, 322,192.62 and 72,640.50

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Solution

The fourth proportional to 214,794.51, 322,192.62 and 72,640.50 is: 108,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,794.51 : 322,192.62 = 72,640.50 : x
  2. Step 2: Convert to fraction form
    214,794.51/322,192.62 = 72,640.50/x
  3. Step 3: Cross multiply
    214,794.51x = 322,192.62 × 72,640.50
  4. Step 4: Simplify right side
    214,794.51x = 23,404,233,013.11
  5. Step 5: Solve for x
    x = 23,404,233,013.11/214,794.51
  6. Step 6: Final answer
    x = 108,961.04

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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.