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Finding the Fourth Proportional to 224,134.34, 309,185.25 and 143,475.08

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Solution

The fourth proportional to 224,134.34, 309,185.25 and 143,475.08 is: 197,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,134.34 : 309,185.25 = 143,475.08 : x
  2. Step 2: Convert to fraction form
    224,134.34/309,185.25 = 143,475.08/x
  3. Step 3: Cross multiply
    224,134.34x = 309,185.25 × 143,475.08
  4. Step 4: Simplify right side
    224,134.34x = 44,360,378,478.57
  5. Step 5: Solve for x
    x = 44,360,378,478.57/224,134.34
  6. Step 6: Final answer
    x = 197,918.71

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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.