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Finding the Fourth Proportional to 199,085.50, 274,738.01 and 109,661.50

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Solution

The fourth proportional to 199,085.50, 274,738.01 and 109,661.50 is: 151,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,085.50 : 274,738.01 = 109,661.50 : x
  2. Step 2: Convert to fraction form
    199,085.50/274,738.01 = 109,661.50/x
  3. Step 3: Cross multiply
    199,085.50x = 274,738.01 × 109,661.50
  4. Step 4: Simplify right side
    199,085.50x = 30,128,182,283.62
  5. Step 5: Solve for x
    x = 30,128,182,283.62/199,085.50
  6. Step 6: Final answer
    x = 151,332.88

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