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Finding the Fourth Proportional to 293,482.06, 405,005.43 and 166,157.80

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Solution

The fourth proportional to 293,482.06, 405,005.43 and 166,157.80 is: 229,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,482.06 : 405,005.43 = 166,157.80 : x
  2. Step 2: Convert to fraction form
    293,482.06/405,005.43 = 166,157.80/x
  3. Step 3: Cross multiply
    293,482.06x = 405,005.43 × 166,157.80
  4. Step 4: Simplify right side
    293,482.06x = 67,294,811,236.85
  5. Step 5: Solve for x
    x = 67,294,811,236.85/293,482.06
  6. Step 6: Final answer
    x = 229,297.87

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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.