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Finding the Fourth Proportional to 200,703.50, 300,967.75 and 67,548

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Solution

The fourth proportional to 200,703.50, 300,967.75 and 67,548 is: 101,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,703.50 : 300,967.75 = 67,548 : x
  2. Step 2: Convert to fraction form
    200,703.50/300,967.75 = 67,548/x
  3. Step 3: Cross multiply
    200,703.50x = 300,967.75 × 67,548
  4. Step 4: Simplify right side
    200,703.50x = 20,329,769,577
  5. Step 5: Solve for x
    x = 20,329,769,577/200,703.50
  6. Step 6: Final answer
    x = 101,292.55

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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.