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Finding the Fourth Proportional to 127,996.96, 191,994 and 57,827.20

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Solution

The fourth proportional to 127,996.96, 191,994 and 57,827.20 is: 86,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996.96 : 191,994 = 57,827.20 : x
  2. Step 2: Convert to fraction form
    127,996.96/191,994 = 57,827.20/x
  3. Step 3: Cross multiply
    127,996.96x = 191,994 × 57,827.20
  4. Step 4: Simplify right side
    127,996.96x = 11,102,475,436.80
  5. Step 5: Solve for x
    x = 11,102,475,436.80/127,996.96
  6. Step 6: Final answer
    x = 86,740.15

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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.