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Finding the Fourth Proportional to 127,817.60, 191,724.60 and 57,696.80

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Solution

The fourth proportional to 127,817.60, 191,724.60 and 57,696.80 is: 86,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,817.60 : 191,724.60 = 57,696.80 : x
  2. Step 2: Convert to fraction form
    127,817.60/191,724.60 = 57,696.80/x
  3. Step 3: Cross multiply
    127,817.60x = 191,724.60 × 57,696.80
  4. Step 4: Simplify right side
    127,817.60x = 11,061,895,901.28
  5. Step 5: Solve for x
    x = 11,061,895,901.28/127,817.60
  6. Step 6: Final answer
    x = 86,544.39

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Why These Related Problems?

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