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Finding the Fourth Proportional to 185,336, 255,762.24 and 100,450.88

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Solution

The fourth proportional to 185,336, 255,762.24 and 100,450.88 is: 138,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,336 : 255,762.24 = 100,450.88 : x
  2. Step 2: Convert to fraction form
    185,336/255,762.24 = 100,450.88/x
  3. Step 3: Cross multiply
    185,336x = 255,762.24 × 100,450.88
  4. Step 4: Simplify right side
    185,336x = 25,691,542,078.77
  5. Step 5: Solve for x
    x = 25,691,542,078.77/185,336
  6. Step 6: Final answer
    x = 138,621.43

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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.