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Finding the Fourth Proportional to 185,380.50, 255,823.57 and 100,495.38

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Solution

The fourth proportional to 185,380.50, 255,823.57 and 100,495.38 is: 138,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,380.50 : 255,823.57 = 100,495.38 : x
  2. Step 2: Convert to fraction form
    185,380.50/255,823.57 = 100,495.38/x
  3. Step 3: Cross multiply
    185,380.50x = 255,823.57 × 100,495.38
  4. Step 4: Simplify right side
    185,380.50x = 25,709,086,880.11
  5. Step 5: Solve for x
    x = 25,709,086,880.11/185,380.50
  6. Step 6: Final answer
    x = 138,682.80

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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.