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Finding the Fourth Proportional to 201,857.90, 302,786.85 and 138,872.30

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Solution

The fourth proportional to 201,857.90, 302,786.85 and 138,872.30 is: 208,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.90 : 302,786.85 = 138,872.30 : x
  2. Step 2: Convert to fraction form
    201,857.90/302,786.85 = 138,872.30/x
  3. Step 3: Cross multiply
    201,857.90x = 302,786.85 × 138,872.30
  4. Step 4: Simplify right side
    201,857.90x = 42,048,706,269.26
  5. Step 5: Solve for x
    x = 42,048,706,269.26/201,857.90
  6. Step 6: Final answer
    x = 208,308.45

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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.