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Finding the Fourth Proportional to 229,425, 316,469.22 and 144,394.44

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Solution

The fourth proportional to 229,425, 316,469.22 and 144,394.44 is: 199,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,425 : 316,469.22 = 144,394.44 : x
  2. Step 2: Convert to fraction form
    229,425/316,469.22 = 144,394.44/x
  3. Step 3: Cross multiply
    229,425x = 316,469.22 × 144,394.44
  4. Step 4: Simplify right side
    229,425x = 45,696,395,799.14
  5. Step 5: Solve for x
    x = 45,696,395,799.14/229,425
  6. Step 6: Final answer
    x = 199,177.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.