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Finding the Fourth Proportional to 200,435.70, 276,600.93 and 109,795.50

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Solution

The fourth proportional to 200,435.70, 276,600.93 and 109,795.50 is: 151,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,435.70 : 276,600.93 = 109,795.50 : x
  2. Step 2: Convert to fraction form
    200,435.70/276,600.93 = 109,795.50/x
  3. Step 3: Cross multiply
    200,435.70x = 276,600.93 × 109,795.50
  4. Step 4: Simplify right side
    200,435.70x = 30,369,537,409.82
  5. Step 5: Solve for x
    x = 30,369,537,409.82/200,435.70
  6. Step 6: Final answer
    x = 151,517.61

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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.