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Finding the Fourth Proportional to 200,938.20, 301,577.40 and 82,694.40

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Solution

The fourth proportional to 200,938.20, 301,577.40 and 82,694.40 is: 124,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,938.20 : 301,577.40 = 82,694.40 : x
  2. Step 2: Convert to fraction form
    200,938.20/301,577.40 = 82,694.40/x
  3. Step 3: Cross multiply
    200,938.20x = 301,577.40 × 82,694.40
  4. Step 4: Simplify right side
    200,938.20x = 24,938,762,146.56
  5. Step 5: Solve for x
    x = 24,938,762,146.56/200,938.20
  6. Step 6: Final answer
    x = 124,111.60

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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.