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Finding the Fourth Proportional to 301,902.19, 416,616.21 and 165,936.20

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Solution

The fourth proportional to 301,902.19, 416,616.21 and 165,936.20 is: 228,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,902.19 : 416,616.21 = 165,936.20 : x
  2. Step 2: Convert to fraction form
    301,902.19/416,616.21 = 165,936.20/x
  3. Step 3: Cross multiply
    301,902.19x = 416,616.21 × 165,936.20
  4. Step 4: Simplify right side
    301,902.19x = 69,131,708,662.72
  5. Step 5: Solve for x
    x = 69,131,708,662.72/301,902.19
  6. Step 6: Final answer
    x = 228,987.11

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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.