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Finding the Fourth Proportional to 227,761.38, 314,237.61 and 127,139.94

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Solution

The fourth proportional to 227,761.38, 314,237.61 and 127,139.94 is: 175,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.38 : 314,237.61 = 127,139.94 : x
  2. Step 2: Convert to fraction form
    227,761.38/314,237.61 = 127,139.94/x
  3. Step 3: Cross multiply
    227,761.38x = 314,237.61 × 127,139.94
  4. Step 4: Simplify right side
    227,761.38x = 39,952,150,881.14
  5. Step 5: Solve for x
    x = 39,952,150,881.14/227,761.38
  6. Step 6: Final answer
    x = 175,412.31

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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.