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Finding the Fourth Proportional to 146,201.89, 201,770.33 and 116,234.52

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Solution

The fourth proportional to 146,201.89, 201,770.33 and 116,234.52 is: 160,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,201.89 : 201,770.33 = 116,234.52 : x
  2. Step 2: Convert to fraction form
    146,201.89/201,770.33 = 116,234.52/x
  3. Step 3: Cross multiply
    146,201.89x = 201,770.33 × 116,234.52
  4. Step 4: Simplify right side
    146,201.89x = 23,452,677,457.79
  5. Step 5: Solve for x
    x = 23,452,677,457.79/146,201.89
  6. Step 6: Final answer
    x = 160,412.96

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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.