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Finding the Fourth Proportional to 146,052.60, 219,165.30 and 106,510.20

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Solution

The fourth proportional to 146,052.60, 219,165.30 and 106,510.20 is: 159,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052.60 : 219,165.30 = 106,510.20 : x
  2. Step 2: Convert to fraction form
    146,052.60/219,165.30 = 106,510.20/x
  3. Step 3: Cross multiply
    146,052.60x = 219,165.30 × 106,510.20
  4. Step 4: Simplify right side
    146,052.60x = 23,343,339,936.06
  5. Step 5: Solve for x
    x = 23,343,339,936.06/146,052.60
  6. Step 6: Final answer
    x = 159,828.31

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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.