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Finding the Fourth Proportional to 149,633.70, 223,802.55 and 133,952.10

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Solution

The fourth proportional to 149,633.70, 223,802.55 and 133,952.10 is: 200,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,633.70 : 223,802.55 = 133,952.10 : x
  2. Step 2: Convert to fraction form
    149,633.70/223,802.55 = 133,952.10/x
  3. Step 3: Cross multiply
    149,633.70x = 223,802.55 × 133,952.10
  4. Step 4: Simplify right side
    149,633.70x = 29,978,821,557.86
  5. Step 5: Solve for x
    x = 29,978,821,557.86/149,633.70
  6. Step 6: Final answer
    x = 200,348.06

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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.