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Finding the Fourth Proportional to 229,069.92, 343,590.86 and 102,676.21

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Solution

The fourth proportional to 229,069.92, 343,590.86 and 102,676.21 is: 154,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,069.92 : 343,590.86 = 102,676.21 : x
  2. Step 2: Convert to fraction form
    229,069.92/343,590.86 = 102,676.21/x
  3. Step 3: Cross multiply
    229,069.92x = 343,590.86 × 102,676.21
  4. Step 4: Simplify right side
    229,069.92x = 35,278,606,693.15
  5. Step 5: Solve for x
    x = 35,278,606,693.15/229,069.92
  6. Step 6: Final answer
    x = 154,008.03

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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.