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Finding the Fourth Proportional to 293,268.39, 404,616.31 and 164,187.87

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Solution

The fourth proportional to 293,268.39, 404,616.31 and 164,187.87 is: 226,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,268.39 : 404,616.31 = 164,187.87 : x
  2. Step 2: Convert to fraction form
    293,268.39/404,616.31 = 164,187.87/x
  3. Step 3: Cross multiply
    293,268.39x = 404,616.31 × 164,187.87
  4. Step 4: Simplify right side
    293,268.39x = 66,433,090,106.16
  5. Step 5: Solve for x
    x = 66,433,090,106.16/293,268.39
  6. Step 6: Final answer
    x = 226,526.60

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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.