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Finding the Fourth Proportional to 229,336, 344,016.96 and 81,592

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Solution

The fourth proportional to 229,336, 344,016.96 and 81,592 is: 122,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,336 : 344,016.96 = 81,592 : x
  2. Step 2: Convert to fraction form
    229,336/344,016.96 = 81,592/x
  3. Step 3: Cross multiply
    229,336x = 344,016.96 × 81,592
  4. Step 4: Simplify right side
    229,336x = 28,069,031,800.32
  5. Step 5: Solve for x
    x = 28,069,031,800.32/229,336
  6. Step 6: Final answer
    x = 122,392.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.