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Finding the Fourth Proportional to 149,625.30, 223,891.20 and 110,259.30

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Solution

The fourth proportional to 149,625.30, 223,891.20 and 110,259.30 is: 164,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625.30 : 223,891.20 = 110,259.30 : x
  2. Step 2: Convert to fraction form
    149,625.30/223,891.20 = 110,259.30/x
  3. Step 3: Cross multiply
    149,625.30x = 223,891.20 × 110,259.30
  4. Step 4: Simplify right side
    149,625.30x = 24,686,086,988.16
  5. Step 5: Solve for x
    x = 24,686,086,988.16/149,625.30
  6. Step 6: Final answer
    x = 164,986.05

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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.