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Finding the Fourth Proportional to 203,358.06, 280,633.41 and 113,934.06

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Solution

The fourth proportional to 203,358.06, 280,633.41 and 113,934.06 is: 157,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,358.06 : 280,633.41 = 113,934.06 : x
  2. Step 2: Convert to fraction form
    203,358.06/280,633.41 = 113,934.06/x
  3. Step 3: Cross multiply
    203,358.06x = 280,633.41 × 113,934.06
  4. Step 4: Simplify right side
    203,358.06x = 31,973,703,772.94
  5. Step 5: Solve for x
    x = 31,973,703,772.94/203,358.06
  6. Step 6: Final answer
    x = 157,228.60

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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.