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Finding the Fourth Proportional to 200,143.14, 276,152.32 and 119,554.90

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Solution

The fourth proportional to 200,143.14, 276,152.32 and 119,554.90 is: 164,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,143.14 : 276,152.32 = 119,554.90 : x
  2. Step 2: Convert to fraction form
    200,143.14/276,152.32 = 119,554.90/x
  3. Step 3: Cross multiply
    200,143.14x = 276,152.32 × 119,554.90
  4. Step 4: Simplify right side
    200,143.14x = 33,015,363,002.37
  5. Step 5: Solve for x
    x = 33,015,363,002.37/200,143.14
  6. Step 6: Final answer
    x = 164,958.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.