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Finding the Fourth Proportional to 264,035.68, 396,157.20 and 116,188

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Solution

The fourth proportional to 264,035.68, 396,157.20 and 116,188 is: 174,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,035.68 : 396,157.20 = 116,188 : x
  2. Step 2: Convert to fraction form
    264,035.68/396,157.20 = 116,188/x
  3. Step 3: Cross multiply
    264,035.68x = 396,157.20 × 116,188
  4. Step 4: Simplify right side
    264,035.68x = 46,028,712,753.60
  5. Step 5: Solve for x
    x = 46,028,712,753.60/264,035.68
  6. Step 6: Final answer
    x = 174,327.62

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Why These Related Problems?

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