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Finding the Fourth Proportional to 203,468.94, 280,761.12 and 112,824.27

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Solution

The fourth proportional to 203,468.94, 280,761.12 and 112,824.27 is: 155,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.94 : 280,761.12 = 112,824.27 : x
  2. Step 2: Convert to fraction form
    203,468.94/280,761.12 = 112,824.27/x
  3. Step 3: Cross multiply
    203,468.94x = 280,761.12 × 112,824.27
  4. Step 4: Simplify right side
    203,468.94x = 31,676,668,408.38
  5. Step 5: Solve for x
    x = 31,676,668,408.38/203,468.94
  6. Step 6: Final answer
    x = 155,683.07

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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.