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Finding the Fourth Proportional to 217,138.20, 325,707.30 and 146,279.40

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Solution

The fourth proportional to 217,138.20, 325,707.30 and 146,279.40 is: 219,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,138.20 : 325,707.30 = 146,279.40 : x
  2. Step 2: Convert to fraction form
    217,138.20/325,707.30 = 146,279.40/x
  3. Step 3: Cross multiply
    217,138.20x = 325,707.30 × 146,279.40
  4. Step 4: Simplify right side
    217,138.20x = 47,644,268,419.62
  5. Step 5: Solve for x
    x = 47,644,268,419.62/217,138.20
  6. Step 6: Final answer
    x = 219,419.10

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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.