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Finding the Fourth Proportional to 203,092.34, 280,276.16 and 112,448.30

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Solution

The fourth proportional to 203,092.34, 280,276.16 and 112,448.30 is: 155,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,092.34 : 280,276.16 = 112,448.30 : x
  2. Step 2: Convert to fraction form
    203,092.34/280,276.16 = 112,448.30/x
  3. Step 3: Cross multiply
    203,092.34x = 280,276.16 × 112,448.30
  4. Step 4: Simplify right side
    203,092.34x = 31,516,575,758.91
  5. Step 5: Solve for x
    x = 31,516,575,758.91/203,092.34
  6. Step 6: Final answer
    x = 155,183.48

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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.