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Finding the Fourth Proportional to 199,674.29, 275,551.88 and 109,030.91

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Solution

The fourth proportional to 199,674.29, 275,551.88 and 109,030.91 is: 150,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674.29 : 275,551.88 = 109,030.91 : x
  2. Step 2: Convert to fraction form
    199,674.29/275,551.88 = 109,030.91/x
  3. Step 3: Cross multiply
    199,674.29x = 275,551.88 × 109,030.91
  4. Step 4: Simplify right side
    199,674.29x = 30,043,670,305.70
  5. Step 5: Solve for x
    x = 30,043,670,305.70/199,674.29
  6. Step 6: Final answer
    x = 150,463.39

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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.