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Finding the Fourth Proportional to 203,513.88, 280,847.34 and 114,089.88

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Solution

The fourth proportional to 203,513.88, 280,847.34 and 114,089.88 is: 157,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,513.88 : 280,847.34 = 114,089.88 : x
  2. Step 2: Convert to fraction form
    203,513.88/280,847.34 = 114,089.88/x
  3. Step 3: Cross multiply
    203,513.88x = 280,847.34 × 114,089.88
  4. Step 4: Simplify right side
    203,513.88x = 32,041,839,318.92
  5. Step 5: Solve for x
    x = 32,041,839,318.92/203,513.88
  6. Step 6: Final answer
    x = 157,443.02

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1.5x scale

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.