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Finding the Fourth Proportional to 203,114.24, 280,294.22 and 112,468.24

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Solution

The fourth proportional to 203,114.24, 280,294.22 and 112,468.24 is: 155,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.24 : 280,294.22 = 112,468.24 : x
  2. Step 2: Convert to fraction form
    203,114.24/280,294.22 = 112,468.24/x
  3. Step 3: Cross multiply
    203,114.24x = 280,294.22 × 112,468.24
  4. Step 4: Simplify right side
    203,114.24x = 31,524,197,605.57
  5. Step 5: Solve for x
    x = 31,524,197,605.57/203,114.24
  6. Step 6: Final answer
    x = 155,204.27

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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.