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Finding the Fourth Proportional to 200,559.87, 276,713.28 and 114,516

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Solution

The fourth proportional to 200,559.87, 276,713.28 and 114,516 is: 157,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,559.87 : 276,713.28 = 114,516 : x
  2. Step 2: Convert to fraction form
    200,559.87/276,713.28 = 114,516/x
  3. Step 3: Cross multiply
    200,559.87x = 276,713.28 × 114,516
  4. Step 4: Simplify right side
    200,559.87x = 31,688,097,972.48
  5. Step 5: Solve for x
    x = 31,688,097,972.48/200,559.87
  6. Step 6: Final answer
    x = 157,998.20

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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.