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Finding the Fourth Proportional to 293,665.96, 405,259.00 and 166,341.55

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Solution

The fourth proportional to 293,665.96, 405,259.00 and 166,341.55 is: 229,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,665.96 : 405,259.00 = 166,341.55 : x
  2. Step 2: Convert to fraction form
    293,665.96/405,259.00 = 166,341.55/x
  3. Step 3: Cross multiply
    293,665.96x = 405,259.00 × 166,341.55
  4. Step 4: Simplify right side
    293,665.96x = 67,411,409,542.31
  5. Step 5: Solve for x
    x = 67,411,409,542.31/293,665.96
  6. Step 6: Final answer
    x = 229,551.33

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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.