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Finding the Fourth Proportional to 151,896.81, 227,631.26 and 116,220

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Solution

The fourth proportional to 151,896.81, 227,631.26 and 116,220 is: 174,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,896.81 : 227,631.26 = 116,220 : x
  2. Step 2: Convert to fraction form
    151,896.81/227,631.26 = 116,220/x
  3. Step 3: Cross multiply
    151,896.81x = 227,631.26 × 116,220
  4. Step 4: Simplify right side
    151,896.81x = 26,455,305,037.20
  5. Step 5: Solve for x
    x = 26,455,305,037.20/151,896.81
  6. Step 6: Final answer
    x = 174,166.30

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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.