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Finding the Fourth Proportional to 261,428.69, 360,771.56 and 148,251.44

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Solution

The fourth proportional to 261,428.69, 360,771.56 and 148,251.44 is: 204,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428.69 : 360,771.56 = 148,251.44 : x
  2. Step 2: Convert to fraction form
    261,428.69/360,771.56 = 148,251.44/x
  3. Step 3: Cross multiply
    261,428.69x = 360,771.56 × 148,251.44
  4. Step 4: Simplify right side
    261,428.69x = 53,484,903,281.05
  5. Step 5: Solve for x
    x = 53,484,903,281.05/261,428.69
  6. Step 6: Final answer
    x = 204,586.97

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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.