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Finding the Fourth Proportional to 289,474.60, 434,082.30 and 131,621.80

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Solution

The fourth proportional to 289,474.60, 434,082.30 and 131,621.80 is: 197,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474.60 : 434,082.30 = 131,621.80 : x
  2. Step 2: Convert to fraction form
    289,474.60/434,082.30 = 131,621.80/x
  3. Step 3: Cross multiply
    289,474.60x = 434,082.30 × 131,621.80
  4. Step 4: Simplify right side
    289,474.60x = 57,134,693,674.14
  5. Step 5: Solve for x
    x = 57,134,693,674.14/289,474.60
  6. Step 6: Final answer
    x = 197,373.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.