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Finding the Fourth Proportional to 294,040.68, 405,785.06 and 166,721.64

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Solution

The fourth proportional to 294,040.68, 405,785.06 and 166,721.64 is: 230,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,040.68 : 405,785.06 = 166,721.64 : x
  2. Step 2: Convert to fraction form
    294,040.68/405,785.06 = 166,721.64/x
  3. Step 3: Cross multiply
    294,040.68x = 405,785.06 × 166,721.64
  4. Step 4: Simplify right side
    294,040.68x = 67,653,150,690.70
  5. Step 5: Solve for x
    x = 67,653,150,690.70/294,040.68
  6. Step 6: Final answer
    x = 230,080.92

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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.