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Finding the Fourth Proportional to 146,202.89, 201,771.71 and 116,235.52

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Solution

The fourth proportional to 146,202.89, 201,771.71 and 116,235.52 is: 160,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,202.89 : 201,771.71 = 116,235.52 : x
  2. Step 2: Convert to fraction form
    146,202.89/201,771.71 = 116,235.52/x
  3. Step 3: Cross multiply
    146,202.89x = 201,771.71 × 116,235.52
  4. Step 4: Simplify right side
    146,202.89x = 23,453,039,633.14
  5. Step 5: Solve for x
    x = 23,453,039,633.14/146,202.89
  6. Step 6: Final answer
    x = 160,414.34

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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.