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Finding the Fourth Proportional to 127,262.38, 190,896 and 38,515.54

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Solution

The fourth proportional to 127,262.38, 190,896 and 38,515.54 is: 57,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,262.38 : 190,896 = 38,515.54 : x
  2. Step 2: Convert to fraction form
    127,262.38/190,896 = 38,515.54/x
  3. Step 3: Cross multiply
    127,262.38x = 190,896 × 38,515.54
  4. Step 4: Simplify right side
    127,262.38x = 7,352,462,523.84
  5. Step 5: Solve for x
    x = 7,352,462,523.84/127,262.38
  6. Step 6: Final answer
    x = 57,774.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.