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Finding the Fourth Proportional to 200,684.76, 276,948.09 and 110,049

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Solution

The fourth proportional to 200,684.76, 276,948.09 and 110,049 is: 151,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,684.76 : 276,948.09 = 110,049 : x
  2. Step 2: Convert to fraction form
    200,684.76/276,948.09 = 110,049/x
  3. Step 3: Cross multiply
    200,684.76x = 276,948.09 × 110,049
  4. Step 4: Simplify right side
    200,684.76x = 30,477,860,356.41
  5. Step 5: Solve for x
    x = 30,477,860,356.41/200,684.76
  6. Step 6: Final answer
    x = 151,869.33

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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.