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Finding the Fourth Proportional to 229,455.39, 316,591.17 and 137,589.09

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Solution

The fourth proportional to 229,455.39, 316,591.17 and 137,589.09 is: 189,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,455.39 : 316,591.17 = 137,589.09 : x
  2. Step 2: Convert to fraction form
    229,455.39/316,591.17 = 137,589.09/x
  3. Step 3: Cross multiply
    229,455.39x = 316,591.17 × 137,589.09
  4. Step 4: Simplify right side
    229,455.39x = 43,559,490,466.38
  5. Step 5: Solve for x
    x = 43,559,490,466.38/229,455.39
  6. Step 6: Final answer
    x = 189,838.61

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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.