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Finding the Fourth Proportional to 200,405.88, 300,537.92 and 58,221.58

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Solution

The fourth proportional to 200,405.88, 300,537.92 and 58,221.58 is: 87,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,405.88 : 300,537.92 = 58,221.58 : x
  2. Step 2: Convert to fraction form
    200,405.88/300,537.92 = 58,221.58/x
  3. Step 3: Cross multiply
    200,405.88x = 300,537.92 × 58,221.58
  4. Step 4: Simplify right side
    200,405.88x = 17,497,792,552.31
  5. Step 5: Solve for x
    x = 17,497,792,552.31/200,405.88
  6. Step 6: Final answer
    x = 87,311.77

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1.5x scale

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.