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Finding the Fourth Proportional to 243,918.30, 365,786.54 and 83,949.50

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Solution

The fourth proportional to 243,918.30, 365,786.54 and 83,949.50 is: 125,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,918.30 : 365,786.54 = 83,949.50 : x
  2. Step 2: Convert to fraction form
    243,918.30/365,786.54 = 83,949.50/x
  3. Step 3: Cross multiply
    243,918.30x = 365,786.54 × 83,949.50
  4. Step 4: Simplify right side
    243,918.30x = 30,707,597,139.73
  5. Step 5: Solve for x
    x = 30,707,597,139.73/243,918.30
  6. Step 6: Final answer
    x = 125,892.96

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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.