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Finding the Fourth Proportional to 200,642.40, 300,975.86 and 67,511.48

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Solution

The fourth proportional to 200,642.40, 300,975.86 and 67,511.48 is: 101,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.40 : 300,975.86 = 67,511.48 : x
  2. Step 2: Convert to fraction form
    200,642.40/300,975.86 = 67,511.48/x
  3. Step 3: Cross multiply
    200,642.40x = 300,975.86 × 67,511.48
  4. Step 4: Simplify right side
    200,642.40x = 20,319,325,752.87
  5. Step 5: Solve for x
    x = 20,319,325,752.87/200,642.40
  6. Step 6: Final answer
    x = 101,271.35

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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.