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Finding the Fourth Proportional to 199,591.52, 275,429.40 and 118,977.50

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Solution

The fourth proportional to 199,591.52, 275,429.40 and 118,977.50 is: 164,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,591.52 : 275,429.40 = 118,977.50 : x
  2. Step 2: Convert to fraction form
    199,591.52/275,429.40 = 118,977.50/x
  3. Step 3: Cross multiply
    199,591.52x = 275,429.40 × 118,977.50
  4. Step 4: Simplify right side
    199,591.52x = 32,769,901,438.50
  5. Step 5: Solve for x
    x = 32,769,901,438.50/199,591.52
  6. Step 6: Final answer
    x = 164,184.84

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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.