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Finding the Fourth Proportional to 146,173, 219,266.70 and 47,677

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Solution

The fourth proportional to 146,173, 219,266.70 and 47,677 is: 71,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,173 : 219,266.70 = 47,677 : x
  2. Step 2: Convert to fraction form
    146,173/219,266.70 = 47,677/x
  3. Step 3: Cross multiply
    146,173x = 219,266.70 × 47,677
  4. Step 4: Simplify right side
    146,173x = 10,453,978,455.90
  5. Step 5: Solve for x
    x = 10,453,978,455.90/146,173
  6. Step 6: Final answer
    x = 71,517.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.