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Finding the Fourth Proportional to 201,298.80, 302,531.40 and 197,799.60

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Solution

The fourth proportional to 201,298.80, 302,531.40 and 197,799.60 is: 297,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,298.80 : 302,531.40 = 197,799.60 : x
  2. Step 2: Convert to fraction form
    201,298.80/302,531.40 = 197,799.60/x
  3. Step 3: Cross multiply
    201,298.80x = 302,531.40 × 197,799.60
  4. Step 4: Simplify right side
    201,298.80x = 59,840,589,907.44
  5. Step 5: Solve for x
    x = 59,840,589,907.44/201,298.80
  6. Step 6: Final answer
    x = 297,272.46

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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.