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Finding the Fourth Proportional to 163,400.41, 225,466.14 and 102,139.44

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Solution

The fourth proportional to 163,400.41, 225,466.14 and 102,139.44 is: 140,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,400.41 : 225,466.14 = 102,139.44 : x
  2. Step 2: Convert to fraction form
    163,400.41/225,466.14 = 102,139.44/x
  3. Step 3: Cross multiply
    163,400.41x = 225,466.14 × 102,139.44
  4. Step 4: Simplify right side
    163,400.41x = 23,028,985,278.56
  5. Step 5: Solve for x
    x = 23,028,985,278.56/163,400.41
  6. Step 6: Final answer
    x = 140,935.91

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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.