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Finding the Fourth Proportional to 301,973.01, 416,730.81 and 164,161.23

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Solution

The fourth proportional to 301,973.01, 416,730.81 and 164,161.23 is: 226,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,973.01 : 416,730.81 = 164,161.23 : x
  2. Step 2: Convert to fraction form
    301,973.01/416,730.81 = 164,161.23/x
  3. Step 3: Cross multiply
    301,973.01x = 416,730.81 × 164,161.23
  4. Step 4: Simplify right side
    301,973.01x = 68,411,042,348.50
  5. Step 5: Solve for x
    x = 68,411,042,348.50/301,973.01
  6. Step 6: Final answer
    x = 226,546.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.