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Finding the Fourth Proportional to 550,186.83, 825,399.01 and 171,100.15

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Solution

The fourth proportional to 550,186.83, 825,399.01 and 171,100.15 is: 256,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,186.83 : 825,399.01 = 171,100.15 : x
  2. Step 2: Convert to fraction form
    550,186.83/825,399.01 = 171,100.15/x
  3. Step 3: Cross multiply
    550,186.83x = 825,399.01 × 171,100.15
  4. Step 4: Simplify right side
    550,186.83x = 141,225,892,571.23
  5. Step 5: Solve for x
    x = 141,225,892,571.23/550,186.83
  6. Step 6: Final answer
    x = 256,687.16

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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.