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Finding the Fourth Proportional to 200,823.70, 301,219.23 and 67,701.10

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Solution

The fourth proportional to 200,823.70, 301,219.23 and 67,701.10 is: 101,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,823.70 : 301,219.23 = 67,701.10 : x
  2. Step 2: Convert to fraction form
    200,823.70/301,219.23 = 67,701.10/x
  3. Step 3: Cross multiply
    200,823.70x = 301,219.23 × 67,701.10
  4. Step 4: Simplify right side
    200,823.70x = 20,392,873,212.15
  5. Step 5: Solve for x
    x = 20,392,873,212.15/200,823.70
  6. Step 6: Final answer
    x = 101,546.15

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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.