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Finding the Fourth Proportional to 146,015.30, 219,022.95 and 146,015.30

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Solution

The fourth proportional to 146,015.30, 219,022.95 and 146,015.30 is: 219,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,015.30 : 219,022.95 = 146,015.30 : x
  2. Step 2: Convert to fraction form
    146,015.30/219,022.95 = 146,015.30/x
  3. Step 3: Cross multiply
    146,015.30x = 219,022.95 × 146,015.30
  4. Step 4: Simplify right side
    146,015.30x = 31,980,701,751.14
  5. Step 5: Solve for x
    x = 31,980,701,751.14/146,015.30
  6. Step 6: Final answer
    x = 219,022.95

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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.