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Finding the Fourth Proportional to 196,475, 271,135.50 and 107,051

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Solution

The fourth proportional to 196,475, 271,135.50 and 107,051 is: 147,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,475 : 271,135.50 = 107,051 : x
  2. Step 2: Convert to fraction form
    196,475/271,135.50 = 107,051/x
  3. Step 3: Cross multiply
    196,475x = 271,135.50 × 107,051
  4. Step 4: Simplify right side
    196,475x = 29,025,326,410.50
  5. Step 5: Solve for x
    x = 29,025,326,410.50/196,475
  6. Step 6: Final answer
    x = 147,730.38

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Why These Related Problems?

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