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Finding the Fourth Proportional to 196,478.25, 271,140 and 107,054.25

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Solution

The fourth proportional to 196,478.25, 271,140 and 107,054.25 is: 147,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,478.25 : 271,140 = 107,054.25 : x
  2. Step 2: Convert to fraction form
    196,478.25/271,140 = 107,054.25/x
  3. Step 3: Cross multiply
    196,478.25x = 271,140 × 107,054.25
  4. Step 4: Simplify right side
    196,478.25x = 29,026,689,345
  5. Step 5: Solve for x
    x = 29,026,689,345/196,478.25
  6. Step 6: Final answer
    x = 147,734.87

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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.