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Finding the Fourth Proportional to 204,050.40, 306,075.60 and 181,305.60

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Solution

The fourth proportional to 204,050.40, 306,075.60 and 181,305.60 is: 271,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,050.40 : 306,075.60 = 181,305.60 : x
  2. Step 2: Convert to fraction form
    204,050.40/306,075.60 = 181,305.60/x
  3. Step 3: Cross multiply
    204,050.40x = 306,075.60 × 181,305.60
  4. Step 4: Simplify right side
    204,050.40x = 55,493,220,303.36
  5. Step 5: Solve for x
    x = 55,493,220,303.36/204,050.40
  6. Step 6: Final answer
    x = 271,958.40

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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.