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Finding the Fourth Proportional to 127,086.96, 190,692 and 52,262.40

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Solution

The fourth proportional to 127,086.96, 190,692 and 52,262.40 is: 78,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,086.96 : 190,692 = 52,262.40 : x
  2. Step 2: Convert to fraction form
    127,086.96/190,692 = 52,262.40/x
  3. Step 3: Cross multiply
    127,086.96x = 190,692 × 52,262.40
  4. Step 4: Simplify right side
    127,086.96x = 9,966,021,580.80
  5. Step 5: Solve for x
    x = 9,966,021,580.80/127,086.96
  6. Step 6: Final answer
    x = 78,418.92

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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.