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Finding the Fourth Proportional to 203,600, 280,968.16 and 114,176

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Solution

The fourth proportional to 203,600, 280,968.16 and 114,176 is: 157,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,600 : 280,968.16 = 114,176 : x
  2. Step 2: Convert to fraction form
    203,600/280,968.16 = 114,176/x
  3. Step 3: Cross multiply
    203,600x = 280,968.16 × 114,176
  4. Step 4: Simplify right side
    203,600x = 32,079,820,636.16
  5. Step 5: Solve for x
    x = 32,079,820,636.16/203,600
  6. Step 6: Final answer
    x = 157,562.97

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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.