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Finding the Fourth Proportional to 200,564.37, 276,719.49 and 114,520.50

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Solution

The fourth proportional to 200,564.37, 276,719.49 and 114,520.50 is: 158,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.37 : 276,719.49 = 114,520.50 : x
  2. Step 2: Convert to fraction form
    200,564.37/276,719.49 = 114,520.50/x
  3. Step 3: Cross multiply
    200,564.37x = 276,719.49 × 114,520.50
  4. Step 4: Simplify right side
    200,564.37x = 31,690,054,354.55
  5. Step 5: Solve for x
    x = 31,690,054,354.55/200,564.37
  6. Step 6: Final answer
    x = 158,004.41

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Why These Related Problems?

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