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Finding the Fourth Proportional to 197,082, 271,973.08 and 106,437.99

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Solution

The fourth proportional to 197,082, 271,973.08 and 106,437.99 is: 146,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082 : 271,973.08 = 106,437.99 : x
  2. Step 2: Convert to fraction form
    197,082/271,973.08 = 106,437.99/x
  3. Step 3: Cross multiply
    197,082x = 271,973.08 × 106,437.99
  4. Step 4: Simplify right side
    197,082x = 28,948,267,969.31
  5. Step 5: Solve for x
    x = 28,948,267,969.31/197,082
  6. Step 6: Final answer
    x = 146,884.38

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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.