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Finding the Fourth Proportional to 146,212.70, 219,339.97 and 45,019.32

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Solution

The fourth proportional to 146,212.70, 219,339.97 and 45,019.32 is: 67,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212.70 : 219,339.97 = 45,019.32 : x
  2. Step 2: Convert to fraction form
    146,212.70/219,339.97 = 45,019.32/x
  3. Step 3: Cross multiply
    146,212.70x = 219,339.97 × 45,019.32
  4. Step 4: Simplify right side
    146,212.70x = 9,874,535,314.07
  5. Step 5: Solve for x
    x = 9,874,535,314.07/146,212.70
  6. Step 6: Final answer
    x = 67,535.41

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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.