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Finding the Fourth Proportional to 293,745.10, 405,332.40 and 164,653.78

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Solution

The fourth proportional to 293,745.10, 405,332.40 and 164,653.78 is: 227,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,745.10 : 405,332.40 = 164,653.78 : x
  2. Step 2: Convert to fraction form
    293,745.10/405,332.40 = 164,653.78/x
  3. Step 3: Cross multiply
    293,745.10x = 405,332.40 × 164,653.78
  4. Step 4: Simplify right side
    293,745.10x = 66,739,511,816.47
  5. Step 5: Solve for x
    x = 66,739,511,816.47/293,745.10
  6. Step 6: Final answer
    x = 227,202.13

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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.