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Finding the Fourth Proportional to 197,095, 271,991.12 and 106,450.96

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Solution

The fourth proportional to 197,095, 271,991.12 and 106,450.96 is: 146,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,095 : 271,991.12 = 106,450.96 : x
  2. Step 2: Convert to fraction form
    197,095/271,991.12 = 106,450.96/x
  3. Step 3: Cross multiply
    197,095x = 271,991.12 × 106,450.96
  4. Step 4: Simplify right side
    197,095x = 28,953,715,835.48
  5. Step 5: Solve for x
    x = 28,953,715,835.48/197,095
  6. Step 6: Final answer
    x = 146,902.34

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1.5x scale

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.