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Finding the Fourth Proportional to 334,534.12, 501,796.83 and 81,816.80

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Solution

The fourth proportional to 334,534.12, 501,796.83 and 81,816.80 is: 122,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,534.12 : 501,796.83 = 81,816.80 : x
  2. Step 2: Convert to fraction form
    334,534.12/501,796.83 = 81,816.80/x
  3. Step 3: Cross multiply
    334,534.12x = 501,796.83 × 81,816.80
  4. Step 4: Simplify right side
    334,534.12x = 41,055,410,880.74
  5. Step 5: Solve for x
    x = 41,055,410,880.74/334,534.12
  6. Step 6: Final answer
    x = 122,724.14

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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.