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Finding the Fourth Proportional to 200,565.54, 300,894.89 and 58,414.19

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Solution

The fourth proportional to 200,565.54, 300,894.89 and 58,414.19 is: 87,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565.54 : 300,894.89 = 58,414.19 : x
  2. Step 2: Convert to fraction form
    200,565.54/300,894.89 = 58,414.19/x
  3. Step 3: Cross multiply
    200,565.54x = 300,894.89 × 58,414.19
  4. Step 4: Simplify right side
    200,565.54x = 17,576,529,477.94
  5. Step 5: Solve for x
    x = 17,576,529,477.94/200,565.54
  6. Step 6: Final answer
    x = 87,634.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.