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Finding the Fourth Proportional to 200,684.89, 276,948.26 and 110,049.13

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Solution

The fourth proportional to 200,684.89, 276,948.26 and 110,049.13 is: 151,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,684.89 : 276,948.26 = 110,049.13 : x
  2. Step 2: Convert to fraction form
    200,684.89/276,948.26 = 110,049.13/x
  3. Step 3: Cross multiply
    200,684.89x = 276,948.26 × 110,049.13
  4. Step 4: Simplify right side
    200,684.89x = 30,477,913,958.40
  5. Step 5: Solve for x
    x = 30,477,913,958.40/200,684.89
  6. Step 6: Final answer
    x = 151,869.50

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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.