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Finding the Fourth Proportional to 281,465.40, 421,609.30 and 131,833.40

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Solution

The fourth proportional to 281,465.40, 421,609.30 and 131,833.40 is: 197,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,465.40 : 421,609.30 = 131,833.40 : x
  2. Step 2: Convert to fraction form
    281,465.40/421,609.30 = 131,833.40/x
  3. Step 3: Cross multiply
    281,465.40x = 421,609.30 × 131,833.40
  4. Step 4: Simplify right side
    281,465.40x = 55,582,187,490.62
  5. Step 5: Solve for x
    x = 55,582,187,490.62/281,465.40
  6. Step 6: Final answer
    x = 197,474.32

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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.