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Finding the Fourth Proportional to 127,901.70, 191,743.16 and 49,072.50

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Solution

The fourth proportional to 127,901.70, 191,743.16 and 49,072.50 is: 73,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,901.70 : 191,743.16 = 49,072.50 : x
  2. Step 2: Convert to fraction form
    127,901.70/191,743.16 = 49,072.50/x
  3. Step 3: Cross multiply
    127,901.70x = 191,743.16 × 49,072.50
  4. Step 4: Simplify right side
    127,901.70x = 9,409,315,973.74
  5. Step 5: Solve for x
    x = 9,409,315,973.74/127,901.70
  6. Step 6: Final answer
    x = 73,566.78

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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.