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Finding the Fourth Proportional to 301,988.25, 416,733.17 and 166,021.21

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Solution

The fourth proportional to 301,988.25, 416,733.17 and 166,021.21 is: 229,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,988.25 : 416,733.17 = 166,021.21 : x
  2. Step 2: Convert to fraction form
    301,988.25/416,733.17 = 166,021.21/x
  3. Step 3: Cross multiply
    301,988.25x = 416,733.17 × 166,021.21
  4. Step 4: Simplify right side
    301,988.25x = 69,186,543,296.72
  5. Step 5: Solve for x
    x = 69,186,543,296.72/301,988.25
  6. Step 6: Final answer
    x = 229,103.43

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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.