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Finding the Fourth Proportional to 200,648.08, 300,969.08 and 48,846.28

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Solution

The fourth proportional to 200,648.08, 300,969.08 and 48,846.28 is: 73,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648.08 : 300,969.08 = 48,846.28 : x
  2. Step 2: Convert to fraction form
    200,648.08/300,969.08 = 48,846.28/x
  3. Step 3: Cross multiply
    200,648.08x = 300,969.08 × 48,846.28
  4. Step 4: Simplify right side
    200,648.08x = 14,701,219,953.02
  5. Step 5: Solve for x
    x = 14,701,219,953.02/200,648.08
  6. Step 6: Final answer
    x = 73,268.68

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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.