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Finding the Fourth Proportional to 294,145.16, 405,912.44 and 166,818.02

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Solution

The fourth proportional to 294,145.16, 405,912.44 and 166,818.02 is: 230,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,145.16 : 405,912.44 = 166,818.02 : x
  2. Step 2: Convert to fraction form
    294,145.16/405,912.44 = 166,818.02/x
  3. Step 3: Cross multiply
    294,145.16x = 405,912.44 × 166,818.02
  4. Step 4: Simplify right side
    294,145.16x = 67,713,508,700.08
  5. Step 5: Solve for x
    x = 67,713,508,700.08/294,145.16
  6. Step 6: Final answer
    x = 230,204.40

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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.