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Finding the Fourth Proportional to 147,776.40, 221,738.76 and 68,896.80

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Solution

The fourth proportional to 147,776.40, 221,738.76 and 68,896.80 is: 103,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,776.40 : 221,738.76 = 68,896.80 : x
  2. Step 2: Convert to fraction form
    147,776.40/221,738.76 = 68,896.80/x
  3. Step 3: Cross multiply
    147,776.40x = 221,738.76 × 68,896.80
  4. Step 4: Simplify right side
    147,776.40x = 15,277,090,999.97
  5. Step 5: Solve for x
    x = 15,277,090,999.97/147,776.40
  6. Step 6: Final answer
    x = 103,379.78

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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.