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Finding the Fourth Proportional to 224,313.70, 309,474.74 and 143,785.63

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Solution

The fourth proportional to 224,313.70, 309,474.74 and 143,785.63 is: 198,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,313.70 : 309,474.74 = 143,785.63 : x
  2. Step 2: Convert to fraction form
    224,313.70/309,474.74 = 143,785.63/x
  3. Step 3: Cross multiply
    224,313.70x = 309,474.74 × 143,785.63
  4. Step 4: Simplify right side
    224,313.70x = 44,498,020,459.99
  5. Step 5: Solve for x
    x = 44,498,020,459.99/224,313.70
  6. Step 6: Final answer
    x = 198,374.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.