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Finding the Fourth Proportional to 301,993.64, 416,740.61 and 166,026.60

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Solution

The fourth proportional to 301,993.64, 416,740.61 and 166,026.60 is: 229,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,993.64 : 416,740.61 = 166,026.60 : x
  2. Step 2: Convert to fraction form
    301,993.64/416,740.61 = 166,026.60/x
  3. Step 3: Cross multiply
    301,993.64x = 416,740.61 × 166,026.60
  4. Step 4: Simplify right side
    301,993.64x = 69,190,025,730.09
  5. Step 5: Solve for x
    x = 69,190,025,730.09/301,993.64
  6. Step 6: Final answer
    x = 229,110.87

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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.