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Finding the Fourth Proportional to 231,410.92, 346,720.14 and 126,303.64

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Solution

The fourth proportional to 231,410.92, 346,720.14 and 126,303.64 is: 189,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,410.92 : 346,720.14 = 126,303.64 : x
  2. Step 2: Convert to fraction form
    231,410.92/346,720.14 = 126,303.64/x
  3. Step 3: Cross multiply
    231,410.92x = 346,720.14 × 126,303.64
  4. Step 4: Simplify right side
    231,410.92x = 43,792,015,743.31
  5. Step 5: Solve for x
    x = 43,792,015,743.31/231,410.92
  6. Step 6: Final answer
    x = 189,239.19

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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.