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Finding the Fourth Proportional to 178,194.80, 266,919.60 and 83,505.80

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Solution

The fourth proportional to 178,194.80, 266,919.60 and 83,505.80 is: 125,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,194.80 : 266,919.60 = 83,505.80 : x
  2. Step 2: Convert to fraction form
    178,194.80/266,919.60 = 83,505.80/x
  3. Step 3: Cross multiply
    178,194.80x = 266,919.60 × 83,505.80
  4. Step 4: Simplify right side
    178,194.80x = 22,289,334,733.68
  5. Step 5: Solve for x
    x = 22,289,334,733.68/178,194.80
  6. Step 6: Final answer
    x = 125,084.09

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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.