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Finding the Fourth Proportional to 100,322.60, 150,556.80 and 41,200.70

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Solution

The fourth proportional to 100,322.60, 150,556.80 and 41,200.70 is: 61,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,322.60 : 150,556.80 = 41,200.70 : x
  2. Step 2: Convert to fraction form
    100,322.60/150,556.80 = 41,200.70/x
  3. Step 3: Cross multiply
    100,322.60x = 150,556.80 × 41,200.70
  4. Step 4: Simplify right side
    100,322.60x = 6,203,045,549.76
  5. Step 5: Solve for x
    x = 6,203,045,549.76/100,322.60
  6. Step 6: Final answer
    x = 61,830.99

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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.