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Finding the Fourth Proportional to 200,483.21, 300,724.70 and 187,197.20

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Solution

The fourth proportional to 200,483.21, 300,724.70 and 187,197.20 is: 280,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,483.21 : 300,724.70 = 187,197.20 : x
  2. Step 2: Convert to fraction form
    200,483.21/300,724.70 = 187,197.20/x
  3. Step 3: Cross multiply
    200,483.21x = 300,724.70 × 187,197.20
  4. Step 4: Simplify right side
    200,483.21x = 56,294,820,775.21
  5. Step 5: Solve for x
    x = 56,294,820,775.21/200,483.21
  6. Step 6: Final answer
    x = 280,795.69

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1.5x scale

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.