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Finding the Fourth Proportional to 229,323.90, 344,313.90 and 163,057.80

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Solution

The fourth proportional to 229,323.90, 344,313.90 and 163,057.80 is: 244,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,323.90 : 344,313.90 = 163,057.80 : x
  2. Step 2: Convert to fraction form
    229,323.90/344,313.90 = 163,057.80/x
  3. Step 3: Cross multiply
    229,323.90x = 344,313.90 × 163,057.80
  4. Step 4: Simplify right side
    229,323.90x = 56,143,067,043.42
  5. Step 5: Solve for x
    x = 56,143,067,043.42/229,323.90
  6. Step 6: Final answer
    x = 244,819.96

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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.