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Finding the Fourth Proportional to 200,730.30, 301,095.45 and 137,744.70

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Solution

The fourth proportional to 200,730.30, 301,095.45 and 137,744.70 is: 206,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.30 : 301,095.45 = 137,744.70 : x
  2. Step 2: Convert to fraction form
    200,730.30/301,095.45 = 137,744.70/x
  3. Step 3: Cross multiply
    200,730.30x = 301,095.45 × 137,744.70
  4. Step 4: Simplify right side
    200,730.30x = 41,474,302,431.62
  5. Step 5: Solve for x
    x = 41,474,302,431.62/200,730.30
  6. Step 6: Final answer
    x = 206,617.05

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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.