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Finding the Fourth Proportional to 200,881.80, 301,322.70 and 82,492.20

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Solution

The fourth proportional to 200,881.80, 301,322.70 and 82,492.20 is: 123,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,881.80 : 301,322.70 = 82,492.20 : x
  2. Step 2: Convert to fraction form
    200,881.80/301,322.70 = 82,492.20/x
  3. Step 3: Cross multiply
    200,881.80x = 301,322.70 × 82,492.20
  4. Step 4: Simplify right side
    200,881.80x = 24,856,772,432.94
  5. Step 5: Solve for x
    x = 24,856,772,432.94/200,881.80
  6. Step 6: Final answer
    x = 123,738.30

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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.