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Finding the Fourth Proportional to 119,108, 178,662 and 31,556

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Solution

The fourth proportional to 119,108, 178,662 and 31,556 is: 47,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,108 : 178,662 = 31,556 : x
  2. Step 2: Convert to fraction form
    119,108/178,662 = 31,556/x
  3. Step 3: Cross multiply
    119,108x = 178,662 × 31,556
  4. Step 4: Simplify right side
    119,108x = 5,637,858,072
  5. Step 5: Solve for x
    x = 5,637,858,072/119,108
  6. Step 6: Final answer
    x = 47,334

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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.