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Finding the Fourth Proportional to 227,029.84, 340,544.12 and 102,224.72

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Solution

The fourth proportional to 227,029.84, 340,544.12 and 102,224.72 is: 153,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,029.84 : 340,544.12 = 102,224.72 : x
  2. Step 2: Convert to fraction form
    227,029.84/340,544.12 = 102,224.72/x
  3. Step 3: Cross multiply
    227,029.84x = 340,544.12 × 102,224.72
  4. Step 4: Simplify right side
    227,029.84x = 34,812,027,314.65
  5. Step 5: Solve for x
    x = 34,812,027,314.65/227,029.84
  6. Step 6: Final answer
    x = 153,336.79

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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.