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Finding the Fourth Proportional to 206,274.51, 309,412.05 and 56,516.10

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Solution

The fourth proportional to 206,274.51, 309,412.05 and 56,516.10 is: 84,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.51 : 309,412.05 = 56,516.10 : x
  2. Step 2: Convert to fraction form
    206,274.51/309,412.05 = 56,516.10/x
  3. Step 3: Cross multiply
    206,274.51x = 309,412.05 × 56,516.10
  4. Step 4: Simplify right side
    206,274.51x = 17,486,762,359.01
  5. Step 5: Solve for x
    x = 17,486,762,359.01/206,274.51
  6. Step 6: Final answer
    x = 84,774.23

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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.