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Finding the Fourth Proportional to 100,657.60, 150,986.40 and 89,771.20

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Solution

The fourth proportional to 100,657.60, 150,986.40 and 89,771.20 is: 134,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.60 : 150,986.40 = 89,771.20 : x
  2. Step 2: Convert to fraction form
    100,657.60/150,986.40 = 89,771.20/x
  3. Step 3: Cross multiply
    100,657.60x = 150,986.40 × 89,771.20
  4. Step 4: Simplify right side
    100,657.60x = 13,554,230,311.68
  5. Step 5: Solve for x
    x = 13,554,230,311.68/100,657.60
  6. Step 6: Final answer
    x = 134,656.80

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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.