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Finding the Fourth Proportional to 146,010.60, 219,015.90 and 138,234.60

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Solution

The fourth proportional to 146,010.60, 219,015.90 and 138,234.60 is: 207,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,010.60 : 219,015.90 = 138,234.60 : x
  2. Step 2: Convert to fraction form
    146,010.60/219,015.90 = 138,234.60/x
  3. Step 3: Cross multiply
    146,010.60x = 219,015.90 × 138,234.60
  4. Step 4: Simplify right side
    146,010.60x = 30,275,575,330.14
  5. Step 5: Solve for x
    x = 30,275,575,330.14/146,010.60
  6. Step 6: Final answer
    x = 207,351.90

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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.