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Finding the Fourth Proportional to 231,090.84, 346,840.44 and 112,866.48

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Solution

The fourth proportional to 231,090.84, 346,840.44 and 112,866.48 is: 169,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,090.84 : 346,840.44 = 112,866.48 : x
  2. Step 2: Convert to fraction form
    231,090.84/346,840.44 = 112,866.48/x
  3. Step 3: Cross multiply
    231,090.84x = 346,840.44 × 112,866.48
  4. Step 4: Simplify right side
    231,090.84x = 39,146,659,584.45
  5. Step 5: Solve for x
    x = 39,146,659,584.45/231,090.84
  6. Step 6: Final answer
    x = 169,399.44

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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.