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Finding the Fourth Proportional to 203,498.50, 280,827.93 and 114,074.50

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Solution

The fourth proportional to 203,498.50, 280,827.93 and 114,074.50 is: 157,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.50 : 280,827.93 = 114,074.50 : x
  2. Step 2: Convert to fraction form
    203,498.50/280,827.93 = 114,074.50/x
  3. Step 3: Cross multiply
    203,498.50x = 280,827.93 × 114,074.50
  4. Step 4: Simplify right side
    203,498.50x = 32,035,305,700.79
  5. Step 5: Solve for x
    x = 32,035,305,700.79/203,498.50
  6. Step 6: Final answer
    x = 157,422.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.