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Finding the Fourth Proportional to 127,884, 191,903.76 and 54,012

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Solution

The fourth proportional to 127,884, 191,903.76 and 54,012 is: 81,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,884 : 191,903.76 = 54,012 : x
  2. Step 2: Convert to fraction form
    127,884/191,903.76 = 54,012/x
  3. Step 3: Cross multiply
    127,884x = 191,903.76 × 54,012
  4. Step 4: Simplify right side
    127,884x = 10,365,105,885.12
  5. Step 5: Solve for x
    x = 10,365,105,885.12/127,884
  6. Step 6: Final answer
    x = 81,050.84

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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.