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Finding the Fourth Proportional to 613,285.11, 919,862.94 and 164,051.31

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Solution

The fourth proportional to 613,285.11, 919,862.94 and 164,051.31 is: 246,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,285.11 : 919,862.94 = 164,051.31 : x
  2. Step 2: Convert to fraction form
    613,285.11/919,862.94 = 164,051.31/x
  3. Step 3: Cross multiply
    613,285.11x = 919,862.94 × 164,051.31
  4. Step 4: Simplify right side
    613,285.11x = 150,904,720,327.45
  5. Step 5: Solve for x
    x = 150,904,720,327.45/613,285.11
  6. Step 6: Final answer
    x = 246,059.65

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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.