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Finding the Fourth Proportional to 127,180.76, 190,516.79 and 76,551.98

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Solution

The fourth proportional to 127,180.76, 190,516.79 and 76,551.98 is: 114,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180.76 : 190,516.79 = 76,551.98 : x
  2. Step 2: Convert to fraction form
    127,180.76/190,516.79 = 76,551.98/x
  3. Step 3: Cross multiply
    127,180.76x = 190,516.79 × 76,551.98
  4. Step 4: Simplify right side
    127,180.76x = 14,584,436,736.54
  5. Step 5: Solve for x
    x = 14,584,436,736.54/127,180.76
  6. Step 6: Final answer
    x = 114,674.87

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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.