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Finding the Fourth Proportional to 206,996.56, 310,198.20 and 118,066

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Solution

The fourth proportional to 206,996.56, 310,198.20 and 118,066 is: 176,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996.56 : 310,198.20 = 118,066 : x
  2. Step 2: Convert to fraction form
    206,996.56/310,198.20 = 118,066/x
  3. Step 3: Cross multiply
    206,996.56x = 310,198.20 × 118,066
  4. Step 4: Simplify right side
    206,996.56x = 36,623,860,681.20
  5. Step 5: Solve for x
    x = 36,623,860,681.20/206,996.56
  6. Step 6: Final answer
    x = 176,929.80

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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.