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Finding the Fourth Proportional to 206,532.47, 309,802.12 and 56,771.84

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Solution

The fourth proportional to 206,532.47, 309,802.12 and 56,771.84 is: 85,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.47 : 309,802.12 = 56,771.84 : x
  2. Step 2: Convert to fraction form
    206,532.47/309,802.12 = 56,771.84/x
  3. Step 3: Cross multiply
    206,532.47x = 309,802.12 × 56,771.84
  4. Step 4: Simplify right side
    206,532.47x = 17,588,036,388.30
  5. Step 5: Solve for x
    x = 17,588,036,388.30/206,532.47
  6. Step 6: Final answer
    x = 85,158.70

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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.