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Finding the Fourth Proportional to 100,237.80, 150,356.70 and 99,546.60

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Solution

The fourth proportional to 100,237.80, 150,356.70 and 99,546.60 is: 149,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,237.80 : 150,356.70 = 99,546.60 : x
  2. Step 2: Convert to fraction form
    100,237.80/150,356.70 = 99,546.60/x
  3. Step 3: Cross multiply
    100,237.80x = 150,356.70 × 99,546.60
  4. Step 4: Simplify right side
    100,237.80x = 14,967,498,272.22
  5. Step 5: Solve for x
    x = 14,967,498,272.22/100,237.80
  6. Step 6: Final answer
    x = 149,319.90

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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.