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Finding the Fourth Proportional to 206,274.52, 309,412.01 and 56,516.10

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Solution

The fourth proportional to 206,274.52, 309,412.01 and 56,516.10 is: 84,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.52 : 309,412.01 = 56,516.10 : x
  2. Step 2: Convert to fraction form
    206,274.52/309,412.01 = 56,516.10/x
  3. Step 3: Cross multiply
    206,274.52x = 309,412.01 × 56,516.10
  4. Step 4: Simplify right side
    206,274.52x = 17,486,760,098.36
  5. Step 5: Solve for x
    x = 17,486,760,098.36/206,274.52
  6. Step 6: Final answer
    x = 84,774.21

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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.