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Finding the Fourth Proportional to 199,090.50, 274,744.91 and 109,666.50

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Solution

The fourth proportional to 199,090.50, 274,744.91 and 109,666.50 is: 151,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,090.50 : 274,744.91 = 109,666.50 : x
  2. Step 2: Convert to fraction form
    199,090.50/274,744.91 = 109,666.50/x
  3. Step 3: Cross multiply
    199,090.50x = 274,744.91 × 109,666.50
  4. Step 4: Simplify right side
    199,090.50x = 30,130,312,672.52
  5. Step 5: Solve for x
    x = 30,130,312,672.52/199,090.50
  6. Step 6: Final answer
    x = 151,339.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.