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Finding the Fourth Proportional to 186,709.44, 280,180.80 and 75,901.44

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Solution

The fourth proportional to 186,709.44, 280,180.80 and 75,901.44 is: 113,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,709.44 : 280,180.80 = 75,901.44 : x
  2. Step 2: Convert to fraction form
    186,709.44/280,180.80 = 75,901.44/x
  3. Step 3: Cross multiply
    186,709.44x = 280,180.80 × 75,901.44
  4. Step 4: Simplify right side
    186,709.44x = 21,266,126,180.35
  5. Step 5: Solve for x
    x = 21,266,126,180.35/186,709.44
  6. Step 6: Final answer
    x = 113,899.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.