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Finding the Fourth Proportional to 103,806.80, 155,652.60 and 41,406.80

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Solution

The fourth proportional to 103,806.80, 155,652.60 and 41,406.80 is: 62,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.80 : 155,652.60 = 41,406.80 : x
  2. Step 2: Convert to fraction form
    103,806.80/155,652.60 = 41,406.80/x
  3. Step 3: Cross multiply
    103,806.80x = 155,652.60 × 41,406.80
  4. Step 4: Simplify right side
    103,806.80x = 6,445,076,077.68
  5. Step 5: Solve for x
    x = 6,445,076,077.68/103,806.80
  6. Step 6: Final answer
    x = 62,087.22

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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.