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Finding the Fourth Proportional to 200,356.35, 300,532.02 and 80,466.39

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Solution

The fourth proportional to 200,356.35, 300,532.02 and 80,466.39 is: 120,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356.35 : 300,532.02 = 80,466.39 : x
  2. Step 2: Convert to fraction form
    200,356.35/300,532.02 = 80,466.39/x
  3. Step 3: Cross multiply
    200,356.35x = 300,532.02 × 80,466.39
  4. Step 4: Simplify right side
    200,356.35x = 24,182,726,728.81
  5. Step 5: Solve for x
    x = 24,182,726,728.81/200,356.35
  6. Step 6: Final answer
    x = 120,698.58

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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.