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Finding the Fourth Proportional to 200,526.16, 300,827.24 and 80,592.44

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Solution

The fourth proportional to 200,526.16, 300,827.24 and 80,592.44 is: 120,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,526.16 : 300,827.24 = 80,592.44 : x
  2. Step 2: Convert to fraction form
    200,526.16/300,827.24 = 80,592.44/x
  3. Step 3: Cross multiply
    200,526.16x = 300,827.24 × 80,592.44
  4. Step 4: Simplify right side
    200,526.16x = 24,244,401,290.07
  5. Step 5: Solve for x
    x = 24,244,401,290.07/200,526.16
  6. Step 6: Final answer
    x = 120,903.93

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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.