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Finding the Fourth Proportional to 145,991.06, 218,986.10 and 35,183.06

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Solution

The fourth proportional to 145,991.06, 218,986.10 and 35,183.06 is: 52,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,991.06 : 218,986.10 = 35,183.06 : x
  2. Step 2: Convert to fraction form
    145,991.06/218,986.10 = 35,183.06/x
  3. Step 3: Cross multiply
    145,991.06x = 218,986.10 × 35,183.06
  4. Step 4: Simplify right side
    145,991.06x = 7,704,601,095.47
  5. Step 5: Solve for x
    x = 7,704,601,095.47/145,991.06
  6. Step 6: Final answer
    x = 52,774.47

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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.