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Finding the Fourth Proportional to 185,261.56, 255,567 and 117,163.84

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Solution

The fourth proportional to 185,261.56, 255,567 and 117,163.84 is: 161,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,261.56 : 255,567 = 117,163.84 : x
  2. Step 2: Convert to fraction form
    185,261.56/255,567 = 117,163.84/x
  3. Step 3: Cross multiply
    185,261.56x = 255,567 × 117,163.84
  4. Step 4: Simplify right side
    185,261.56x = 29,943,211,097.28
  5. Step 5: Solve for x
    x = 29,943,211,097.28/185,261.56
  6. Step 6: Final answer
    x = 161,626.68

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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.