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Finding the Fourth Proportional to 200,747.80, 301,120.28 and 50,988.52

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Solution

The fourth proportional to 200,747.80, 301,120.28 and 50,988.52 is: 76,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.80 : 301,120.28 = 50,988.52 : x
  2. Step 2: Convert to fraction form
    200,747.80/301,120.28 = 50,988.52/x
  3. Step 3: Cross multiply
    200,747.80x = 301,120.28 × 50,988.52
  4. Step 4: Simplify right side
    200,747.80x = 15,353,677,419.19
  5. Step 5: Solve for x
    x = 15,353,677,419.19/200,747.80
  6. Step 6: Final answer
    x = 76,482.42

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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.