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Finding the Fourth Proportional to 293,088.51, 404,469.38 and 164,025.96

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Solution

The fourth proportional to 293,088.51, 404,469.38 and 164,025.96 is: 226,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,088.51 : 404,469.38 = 164,025.96 : x
  2. Step 2: Convert to fraction form
    293,088.51/404,469.38 = 164,025.96/x
  3. Step 3: Cross multiply
    293,088.51x = 404,469.38 × 164,025.96
  4. Step 4: Simplify right side
    293,088.51x = 66,343,479,513.55
  5. Step 5: Solve for x
    x = 66,343,479,513.55/293,088.51
  6. Step 6: Final answer
    x = 226,359.88

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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.