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Finding the Fourth Proportional to 200,446.90, 276,621.20 and 114,404.16

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Solution

The fourth proportional to 200,446.90, 276,621.20 and 114,404.16 is: 157,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,446.90 : 276,621.20 = 114,404.16 : x
  2. Step 2: Convert to fraction form
    200,446.90/276,621.20 = 114,404.16/x
  3. Step 3: Cross multiply
    200,446.90x = 276,621.20 × 114,404.16
  4. Step 4: Simplify right side
    200,446.90x = 31,646,616,024.19
  5. Step 5: Solve for x
    x = 31,646,616,024.19/200,446.90
  6. Step 6: Final answer
    x = 157,880.30

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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.