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Finding the Fourth Proportional to 200,330.50, 276,465.21 and 110,906.50

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Solution

The fourth proportional to 200,330.50, 276,465.21 and 110,906.50 is: 153,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,330.50 : 276,465.21 = 110,906.50 : x
  2. Step 2: Convert to fraction form
    200,330.50/276,465.21 = 110,906.50/x
  3. Step 3: Cross multiply
    200,330.50x = 276,465.21 × 110,906.50
  4. Step 4: Simplify right side
    200,330.50x = 30,661,788,812.87
  5. Step 5: Solve for x
    x = 30,661,788,812.87/200,330.50
  6. Step 6: Final answer
    x = 153,056.02

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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.