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Finding the Fourth Proportional to 200,685.76, 276,949.47 and 110,050

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Solution

The fourth proportional to 200,685.76, 276,949.47 and 110,050 is: 151,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,685.76 : 276,949.47 = 110,050 : x
  2. Step 2: Convert to fraction form
    200,685.76/276,949.47 = 110,050/x
  3. Step 3: Cross multiply
    200,685.76x = 276,949.47 × 110,050
  4. Step 4: Simplify right side
    200,685.76x = 30,478,289,173.50
  5. Step 5: Solve for x
    x = 30,478,289,173.50/200,685.76
  6. Step 6: Final answer
    x = 151,870.71

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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.