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Finding the Fourth Proportional to 274,226.93, 411,437.81 and 122,410.25

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Solution

The fourth proportional to 274,226.93, 411,437.81 and 122,410.25 is: 183,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,226.93 : 411,437.81 = 122,410.25 : x
  2. Step 2: Convert to fraction form
    274,226.93/411,437.81 = 122,410.25/x
  3. Step 3: Cross multiply
    274,226.93x = 411,437.81 × 122,410.25
  4. Step 4: Simplify right side
    274,226.93x = 50,364,205,181.55
  5. Step 5: Solve for x
    x = 50,364,205,181.55/274,226.93
  6. Step 6: Final answer
    x = 183,658.86

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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.