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Finding the Fourth Proportional to 229,138.30, 343,569.37 and 102,755.70

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Solution

The fourth proportional to 229,138.30, 343,569.37 and 102,755.70 is: 154,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,138.30 : 343,569.37 = 102,755.70 : x
  2. Step 2: Convert to fraction form
    229,138.30/343,569.37 = 102,755.70/x
  3. Step 3: Cross multiply
    229,138.30x = 343,569.37 × 102,755.70
  4. Step 4: Simplify right side
    229,138.30x = 35,303,711,112.91
  5. Step 5: Solve for x
    x = 35,303,711,112.91/229,138.30
  6. Step 6: Final answer
    x = 154,071.63

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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.