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Finding the Fourth Proportional to 164,954.94, 227,662.16 and 104,531.10

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Solution

The fourth proportional to 164,954.94, 227,662.16 and 104,531.10 is: 144,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,954.94 : 227,662.16 = 104,531.10 : x
  2. Step 2: Convert to fraction form
    164,954.94/227,662.16 = 104,531.10/x
  3. Step 3: Cross multiply
    164,954.94x = 227,662.16 × 104,531.10
  4. Step 4: Simplify right side
    164,954.94x = 23,797,776,013.18
  5. Step 5: Solve for x
    x = 23,797,776,013.18/164,954.94
  6. Step 6: Final answer
    x = 144,268.34

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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.