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Finding the Fourth Proportional to 203,465.88, 280,771.47 and 112,816.44

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Solution

The fourth proportional to 203,465.88, 280,771.47 and 112,816.44 is: 155,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,465.88 : 280,771.47 = 112,816.44 : x
  2. Step 2: Convert to fraction form
    203,465.88/280,771.47 = 112,816.44/x
  3. Step 3: Cross multiply
    203,465.88x = 280,771.47 × 112,816.44
  4. Step 4: Simplify right side
    203,465.88x = 31,675,637,698.97
  5. Step 5: Solve for x
    x = 31,675,637,698.97/203,465.88
  6. Step 6: Final answer
    x = 155,680.34

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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.