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Finding the Fourth Proportional to 200,742.60, 276,952.87 and 114,639.50

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Solution

The fourth proportional to 200,742.60, 276,952.87 and 114,639.50 is: 158,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.60 : 276,952.87 = 114,639.50 : x
  2. Step 2: Convert to fraction form
    200,742.60/276,952.87 = 114,639.50/x
  3. Step 3: Cross multiply
    200,742.60x = 276,952.87 × 114,639.50
  4. Step 4: Simplify right side
    200,742.60x = 31,749,739,376.05
  5. Step 5: Solve for x
    x = 31,749,739,376.05/200,742.60
  6. Step 6: Final answer
    x = 158,161.44

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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.