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Finding the Fourth Proportional to 214,321.36, 295,840.02 and 146,289.64

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Solution

The fourth proportional to 214,321.36, 295,840.02 and 146,289.64 is: 201,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321.36 : 295,840.02 = 146,289.64 : x
  2. Step 2: Convert to fraction form
    214,321.36/295,840.02 = 146,289.64/x
  3. Step 3: Cross multiply
    214,321.36x = 295,840.02 × 146,289.64
  4. Step 4: Simplify right side
    214,321.36x = 43,278,330,023.39
  5. Step 5: Solve for x
    x = 43,278,330,023.39/214,321.36
  6. Step 6: Final answer
    x = 201,931.95

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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.