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Finding the Fourth Proportional to 146,216.32, 219,322.56 and 46,376.32

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Solution

The fourth proportional to 146,216.32, 219,322.56 and 46,376.32 is: 69,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216.32 : 219,322.56 = 46,376.32 : x
  2. Step 2: Convert to fraction form
    146,216.32/219,322.56 = 46,376.32/x
  3. Step 3: Cross multiply
    146,216.32x = 219,322.56 × 46,376.32
  4. Step 4: Simplify right side
    146,216.32x = 10,171,373,225.78
  5. Step 5: Solve for x
    x = 10,171,373,225.78/146,216.32
  6. Step 6: Final answer
    x = 69,563.87

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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.