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Finding the Fourth Proportional to 127,515.89, 176,023.79 and 82,196.39

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Solution

The fourth proportional to 127,515.89, 176,023.79 and 82,196.39 is: 113,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,515.89 : 176,023.79 = 82,196.39 : x
  2. Step 2: Convert to fraction form
    127,515.89/176,023.79 = 82,196.39/x
  3. Step 3: Cross multiply
    127,515.89x = 176,023.79 × 82,196.39
  4. Step 4: Simplify right side
    127,515.89x = 14,468,518,801.02
  5. Step 5: Solve for x
    x = 14,468,518,801.02/127,515.89
  6. Step 6: Final answer
    x = 113,464.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.