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Finding the Fourth Proportional to 200,297.80, 301,102.80 and 141,540.40

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Solution

The fourth proportional to 200,297.80, 301,102.80 and 141,540.40 is: 212,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.80 : 301,102.80 = 141,540.40 : x
  2. Step 2: Convert to fraction form
    200,297.80/301,102.80 = 141,540.40/x
  3. Step 3: Cross multiply
    200,297.80x = 301,102.80 × 141,540.40
  4. Step 4: Simplify right side
    200,297.80x = 42,618,210,753.12
  5. Step 5: Solve for x
    x = 42,618,210,753.12/200,297.80
  6. Step 6: Final answer
    x = 212,774.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.