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Finding the Fourth Proportional to 127,829.20, 191,743.80 and 57,845.20

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Solution

The fourth proportional to 127,829.20, 191,743.80 and 57,845.20 is: 86,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,829.20 : 191,743.80 = 57,845.20 : x
  2. Step 2: Convert to fraction form
    127,829.20/191,743.80 = 57,845.20/x
  3. Step 3: Cross multiply
    127,829.20x = 191,743.80 × 57,845.20
  4. Step 4: Simplify right side
    127,829.20x = 11,091,458,459.76
  5. Step 5: Solve for x
    x = 11,091,458,459.76/127,829.20
  6. Step 6: Final answer
    x = 86,767.80

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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.