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Finding the Fourth Proportional to 200,720.40, 301,080.60 and 82,476.60

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Solution

The fourth proportional to 200,720.40, 301,080.60 and 82,476.60 is: 123,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.40 : 301,080.60 = 82,476.60 : x
  2. Step 2: Convert to fraction form
    200,720.40/301,080.60 = 82,476.60/x
  3. Step 3: Cross multiply
    200,720.40x = 301,080.60 × 82,476.60
  4. Step 4: Simplify right side
    200,720.40x = 24,832,104,213.96
  5. Step 5: Solve for x
    x = 24,832,104,213.96/200,720.40
  6. Step 6: Final answer
    x = 123,714.90

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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.