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Finding the Fourth Proportional to 200,376.24, 300,451.76 and 137,267.52

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Solution

The fourth proportional to 200,376.24, 300,451.76 and 137,267.52 is: 205,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376.24 : 300,451.76 = 137,267.52 : x
  2. Step 2: Convert to fraction form
    200,376.24/300,451.76 = 137,267.52/x
  3. Step 3: Cross multiply
    200,376.24x = 300,451.76 × 137,267.52
  4. Step 4: Simplify right side
    200,376.24x = 41,242,265,786.24
  5. Step 5: Solve for x
    x = 41,242,265,786.24/200,376.24
  6. Step 6: Final answer
    x = 205,824.14

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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.