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Finding the Fourth Proportional to 206,468.80, 308,050.67 and 184,015.60

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Solution

The fourth proportional to 206,468.80, 308,050.67 and 184,015.60 is: 274,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.80 : 308,050.67 = 184,015.60 : x
  2. Step 2: Convert to fraction form
    206,468.80/308,050.67 = 184,015.60/x
  3. Step 3: Cross multiply
    206,468.80x = 308,050.67 × 184,015.60
  4. Step 4: Simplify right side
    206,468.80x = 56,686,128,870.45
  5. Step 5: Solve for x
    x = 56,686,128,870.45/206,468.80
  6. Step 6: Final answer
    x = 274,550.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.