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Finding the Fourth Proportional to 229,891, 344,289.30 and 117,294.52

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Solution

The fourth proportional to 229,891, 344,289.30 and 117,294.52 is: 175,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,891 : 344,289.30 = 117,294.52 : x
  2. Step 2: Convert to fraction form
    229,891/344,289.30 = 117,294.52/x
  3. Step 3: Cross multiply
    229,891x = 344,289.30 × 117,294.52
  4. Step 4: Simplify right side
    229,891x = 40,383,248,184.64
  5. Step 5: Solve for x
    x = 40,383,248,184.64/229,891
  6. Step 6: Final answer
    x = 175,662.59

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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.