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Finding the Fourth Proportional to 200,438.81, 276,595.72 and 109,795.17

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Solution

The fourth proportional to 200,438.81, 276,595.72 and 109,795.17 is: 151,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.81 : 276,595.72 = 109,795.17 : x
  2. Step 2: Convert to fraction form
    200,438.81/276,595.72 = 109,795.17/x
  3. Step 3: Cross multiply
    200,438.81x = 276,595.72 × 109,795.17
  4. Step 4: Simplify right side
    200,438.81x = 30,368,874,098.67
  5. Step 5: Solve for x
    x = 30,368,874,098.67/200,438.81
  6. Step 6: Final answer
    x = 151,511.95

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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.