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Finding the Fourth Proportional to 127,906.70, 191,750.64 and 49,077.50

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Solution

The fourth proportional to 127,906.70, 191,750.64 and 49,077.50 is: 73,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,906.70 : 191,750.64 = 49,077.50 : x
  2. Step 2: Convert to fraction form
    127,906.70/191,750.64 = 49,077.50/x
  3. Step 3: Cross multiply
    127,906.70x = 191,750.64 × 49,077.50
  4. Step 4: Simplify right side
    127,906.70x = 9,410,642,034.60
  5. Step 5: Solve for x
    x = 9,410,642,034.60/127,906.70
  6. Step 6: Final answer
    x = 73,574.27

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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.