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Finding the Fourth Proportional to 205,908.40, 308,862.60 and 184,135.60

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Solution

The fourth proportional to 205,908.40, 308,862.60 and 184,135.60 is: 276,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,908.40 : 308,862.60 = 184,135.60 : x
  2. Step 2: Convert to fraction form
    205,908.40/308,862.60 = 184,135.60/x
  3. Step 3: Cross multiply
    205,908.40x = 308,862.60 × 184,135.60
  4. Step 4: Simplify right side
    205,908.40x = 56,872,600,168.56
  5. Step 5: Solve for x
    x = 56,872,600,168.56/205,908.40
  6. Step 6: Final answer
    x = 276,203.40

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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.