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Finding the Fourth Proportional to 293,492.70, 405,021.42 and 166,193.10

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Solution

The fourth proportional to 293,492.70, 405,021.42 and 166,193.10 is: 229,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,492.70 : 405,021.42 = 166,193.10 : x
  2. Step 2: Convert to fraction form
    293,492.70/405,021.42 = 166,193.10/x
  3. Step 3: Cross multiply
    293,492.70x = 405,021.42 × 166,193.10
  4. Step 4: Simplify right side
    293,492.70x = 67,311,765,356.20
  5. Step 5: Solve for x
    x = 67,311,765,356.20/293,492.70
  6. Step 6: Final answer
    x = 229,347.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.