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Finding the Fourth Proportional to 122,028.84, 168,400.53 and 71,071.20

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Solution

The fourth proportional to 122,028.84, 168,400.53 and 71,071.20 is: 98,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,028.84 : 168,400.53 = 71,071.20 : x
  2. Step 2: Convert to fraction form
    122,028.84/168,400.53 = 71,071.20/x
  3. Step 3: Cross multiply
    122,028.84x = 168,400.53 × 71,071.20
  4. Step 4: Simplify right side
    122,028.84x = 11,968,427,747.74
  5. Step 5: Solve for x
    x = 11,968,427,747.74/122,028.84
  6. Step 6: Final answer
    x = 98,078.68

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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.