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Finding the Fourth Proportional to 294,321.12, 406,151.15 and 166,993.98

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Solution

The fourth proportional to 294,321.12, 406,151.15 and 166,993.98 is: 230,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,321.12 : 406,151.15 = 166,993.98 : x
  2. Step 2: Convert to fraction form
    294,321.12/406,151.15 = 166,993.98/x
  3. Step 3: Cross multiply
    294,321.12x = 406,151.15 × 166,993.98
  4. Step 4: Simplify right side
    294,321.12x = 67,824,796,185.11
  5. Step 5: Solve for x
    x = 67,824,796,185.11/294,321.12
  6. Step 6: Final answer
    x = 230,444.88

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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.