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Finding the Fourth Proportional to 234,892.58, 324,016.18 and 149,913.86

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Solution

The fourth proportional to 234,892.58, 324,016.18 and 149,913.86 is: 206,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,892.58 : 324,016.18 = 149,913.86 : x
  2. Step 2: Convert to fraction form
    234,892.58/324,016.18 = 149,913.86/x
  3. Step 3: Cross multiply
    234,892.58x = 324,016.18 × 149,913.86
  4. Step 4: Simplify right side
    234,892.58x = 48,574,516,246.25
  5. Step 5: Solve for x
    x = 48,574,516,246.25/234,892.58
  6. Step 6: Final answer
    x = 206,794.60

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Why These Related Problems?

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