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Finding the Fourth Proportional to 259,476.92, 389,094.42 and 134,784.44

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Solution

The fourth proportional to 259,476.92, 389,094.42 and 134,784.44 is: 202,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476.92 : 389,094.42 = 134,784.44 : x
  2. Step 2: Convert to fraction form
    259,476.92/389,094.42 = 134,784.44/x
  3. Step 3: Cross multiply
    259,476.92x = 389,094.42 × 134,784.44
  4. Step 4: Simplify right side
    259,476.92x = 52,443,873,506.82
  5. Step 5: Solve for x
    x = 52,443,873,506.82/259,476.92
  6. Step 6: Final answer
    x = 202,113.83

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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.