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Finding the Fourth Proportional to 146,296, 219,444.09 and 35,488

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Solution

The fourth proportional to 146,296, 219,444.09 and 35,488 is: 53,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,296 : 219,444.09 = 35,488 : x
  2. Step 2: Convert to fraction form
    146,296/219,444.09 = 35,488/x
  3. Step 3: Cross multiply
    146,296x = 219,444.09 × 35,488
  4. Step 4: Simplify right side
    146,296x = 7,787,631,865.92
  5. Step 5: Solve for x
    x = 7,787,631,865.92/146,296
  6. Step 6: Final answer
    x = 53,232.02

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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.