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Finding the Fourth Proportional to 293,695.38, 405,315.63 and 166,395.78

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Solution

The fourth proportional to 293,695.38, 405,315.63 and 166,395.78 is: 229,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,695.38 : 405,315.63 = 166,395.78 : x
  2. Step 2: Convert to fraction form
    293,695.38/405,315.63 = 166,395.78/x
  3. Step 3: Cross multiply
    293,695.38x = 405,315.63 × 166,395.78
  4. Step 4: Simplify right side
    293,695.38x = 67,442,810,400.04
  5. Step 5: Solve for x
    x = 67,442,810,400.04/293,695.38
  6. Step 6: Final answer
    x = 229,635.24

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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.