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Finding the Fourth Proportional to 200,649.08, 300,970.58 and 48,847.28

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Solution

The fourth proportional to 200,649.08, 300,970.58 and 48,847.28 is: 73,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,649.08 : 300,970.58 = 48,847.28 : x
  2. Step 2: Convert to fraction form
    200,649.08/300,970.58 = 48,847.28/x
  3. Step 3: Cross multiply
    200,649.08x = 300,970.58 × 48,847.28
  4. Step 4: Simplify right side
    200,649.08x = 14,701,594,193.02
  5. Step 5: Solve for x
    x = 14,701,594,193.02/200,649.08
  6. Step 6: Final answer
    x = 73,270.18

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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.