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Finding the Fourth Proportional to 264,214.60, 396,321.90 and 146,116.60

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Solution

The fourth proportional to 264,214.60, 396,321.90 and 146,116.60 is: 219,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.60 : 396,321.90 = 146,116.60 : x
  2. Step 2: Convert to fraction form
    264,214.60/396,321.90 = 146,116.60/x
  3. Step 3: Cross multiply
    264,214.60x = 396,321.90 × 146,116.60
  4. Step 4: Simplify right side
    264,214.60x = 57,909,208,533.54
  5. Step 5: Solve for x
    x = 57,909,208,533.54/264,214.60
  6. Step 6: Final answer
    x = 219,174.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.