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Finding the Fourth Proportional to 301,999.29, 416,759.29 and 166,035.55

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Solution

The fourth proportional to 301,999.29, 416,759.29 and 166,035.55 is: 229,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.29 : 416,759.29 = 166,035.55 : x
  2. Step 2: Convert to fraction form
    301,999.29/416,759.29 = 166,035.55/x
  3. Step 3: Cross multiply
    301,999.29x = 416,759.29 × 166,035.55
  4. Step 4: Simplify right side
    301,999.29x = 69,196,857,102.58
  5. Step 5: Solve for x
    x = 69,196,857,102.58/301,999.29
  6. Step 6: Final answer
    x = 229,129.20

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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.