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Finding the Fourth Proportional to 294,181.92, 405,986.72 and 166,898.40

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Solution

The fourth proportional to 294,181.92, 405,986.72 and 166,898.40 is: 230,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,181.92 : 405,986.72 = 166,898.40 : x
  2. Step 2: Convert to fraction form
    294,181.92/405,986.72 = 166,898.40/x
  3. Step 3: Cross multiply
    294,181.92x = 405,986.72 × 166,898.40
  4. Step 4: Simplify right side
    294,181.92x = 67,758,533,989.25
  5. Step 5: Solve for x
    x = 67,758,533,989.25/294,181.92
  6. Step 6: Final answer
    x = 230,328.68

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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.