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Finding the Fourth Proportional to 200,085.36, 276,106.32 and 109,423.20

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Solution

The fourth proportional to 200,085.36, 276,106.32 and 109,423.20 is: 150,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085.36 : 276,106.32 = 109,423.20 : x
  2. Step 2: Convert to fraction form
    200,085.36/276,106.32 = 109,423.20/x
  3. Step 3: Cross multiply
    200,085.36x = 276,106.32 × 109,423.20
  4. Step 4: Simplify right side
    200,085.36x = 30,212,437,074.62
  5. Step 5: Solve for x
    x = 30,212,437,074.62/200,085.36
  6. Step 6: Final answer
    x = 150,997.74

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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.