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Finding the Fourth Proportional to 127,938.60, 191,906.10 and 57,817.80

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Solution

The fourth proportional to 127,938.60, 191,906.10 and 57,817.80 is: 86,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,938.60 : 191,906.10 = 57,817.80 : x
  2. Step 2: Convert to fraction form
    127,938.60/191,906.10 = 57,817.80/x
  3. Step 3: Cross multiply
    127,938.60x = 191,906.10 × 57,817.80
  4. Step 4: Simplify right side
    127,938.60x = 11,095,588,508.58
  5. Step 5: Solve for x
    x = 11,095,588,508.58/127,938.60
  6. Step 6: Final answer
    x = 86,725.89

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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.