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Finding the Fourth Proportional to 137,884.38, 190,285.38 and 77,453.70

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Solution

The fourth proportional to 137,884.38, 190,285.38 and 77,453.70 is: 106,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.38 : 190,285.38 = 77,453.70 : x
  2. Step 2: Convert to fraction form
    137,884.38/190,285.38 = 77,453.70/x
  3. Step 3: Cross multiply
    137,884.38x = 190,285.38 × 77,453.70
  4. Step 4: Simplify right side
    137,884.38x = 14,738,306,736.91
  5. Step 5: Solve for x
    x = 14,738,306,736.91/137,884.38
  6. Step 6: Final answer
    x = 106,888.88

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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.