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Finding the Fourth Proportional to 145,174, 217,761 and 46,678

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Solution

The fourth proportional to 145,174, 217,761 and 46,678 is: 70,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,174 : 217,761 = 46,678 : x
  2. Step 2: Convert to fraction form
    145,174/217,761 = 46,678/x
  3. Step 3: Cross multiply
    145,174x = 217,761 × 46,678
  4. Step 4: Simplify right side
    145,174x = 10,164,647,958
  5. Step 5: Solve for x
    x = 10,164,647,958/145,174
  6. Step 6: Final answer
    x = 70,017

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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.