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Finding the Fourth Proportional to 293,245.55, 404,584.80 and 164,165.06

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Solution

The fourth proportional to 293,245.55, 404,584.80 and 164,165.06 is: 226,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,245.55 : 404,584.80 = 164,165.06 : x
  2. Step 2: Convert to fraction form
    293,245.55/404,584.80 = 164,165.06/x
  3. Step 3: Cross multiply
    293,245.55x = 404,584.80 × 164,165.06
  4. Step 4: Simplify right side
    293,245.55x = 66,418,685,944.16
  5. Step 5: Solve for x
    x = 66,418,685,944.16/293,245.55
  6. Step 6: Final answer
    x = 226,495.12

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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.