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Finding the Fourth Proportional to 199,928.76, 275,901.65 and 109,285.08

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Solution

The fourth proportional to 199,928.76, 275,901.65 and 109,285.08 is: 150,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,928.76 : 275,901.65 = 109,285.08 : x
  2. Step 2: Convert to fraction form
    199,928.76/275,901.65 = 109,285.08/x
  3. Step 3: Cross multiply
    199,928.76x = 275,901.65 × 109,285.08
  4. Step 4: Simplify right side
    199,928.76x = 30,151,934,165.59
  5. Step 5: Solve for x
    x = 30,151,934,165.59/199,928.76
  6. Step 6: Final answer
    x = 150,813.39

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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.