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Finding the Fourth Proportional to 200,737.40, 301,106.10 and 82,493.60

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Solution

The fourth proportional to 200,737.40, 301,106.10 and 82,493.60 is: 123,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737.40 : 301,106.10 = 82,493.60 : x
  2. Step 2: Convert to fraction form
    200,737.40/301,106.10 = 82,493.60/x
  3. Step 3: Cross multiply
    200,737.40x = 301,106.10 × 82,493.60
  4. Step 4: Simplify right side
    200,737.40x = 24,839,326,170.96
  5. Step 5: Solve for x
    x = 24,839,326,170.96/200,737.40
  6. Step 6: Final answer
    x = 123,740.40

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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.