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Finding the Fourth Proportional to 301,763.44, 416,431.84 and 163,941.20

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Solution

The fourth proportional to 301,763.44, 416,431.84 and 163,941.20 is: 226,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,763.44 : 416,431.84 = 163,941.20 : x
  2. Step 2: Convert to fraction form
    301,763.44/416,431.84 = 163,941.20/x
  3. Step 3: Cross multiply
    301,763.44x = 416,431.84 × 163,941.20
  4. Step 4: Simplify right side
    301,763.44x = 68,270,335,567.81
  5. Step 5: Solve for x
    x = 68,270,335,567.81/301,763.44
  6. Step 6: Final answer
    x = 226,237.93

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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.