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Finding the Fourth Proportional to 146,278.20, 219,410.01 and 51,513.06

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Solution

The fourth proportional to 146,278.20, 219,410.01 and 51,513.06 is: 77,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,278.20 : 219,410.01 = 51,513.06 : x
  2. Step 2: Convert to fraction form
    146,278.20/219,410.01 = 51,513.06/x
  3. Step 3: Cross multiply
    146,278.20x = 219,410.01 × 51,513.06
  4. Step 4: Simplify right side
    146,278.20x = 11,302,481,009.73
  5. Step 5: Solve for x
    x = 11,302,481,009.73/146,278.20
  6. Step 6: Final answer
    x = 77,267.02

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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.