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Finding the Fourth Proportional to 185,704.96, 256,272.84 and 100,822.04

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Solution

The fourth proportional to 185,704.96, 256,272.84 and 100,822.04 is: 139,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704.96 : 256,272.84 = 100,822.04 : x
  2. Step 2: Convert to fraction form
    185,704.96/256,272.84 = 100,822.04/x
  3. Step 3: Cross multiply
    185,704.96x = 256,272.84 × 100,822.04
  4. Step 4: Simplify right side
    185,704.96x = 25,837,950,525.39
  5. Step 5: Solve for x
    x = 25,837,950,525.39/185,704.96
  6. Step 6: Final answer
    x = 139,134.41

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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.