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Finding the Fourth Proportional to 229,793.14, 344,503.80 and 103,340.80

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Solution

The fourth proportional to 229,793.14, 344,503.80 and 103,340.80 is: 154,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,793.14 : 344,503.80 = 103,340.80 : x
  2. Step 2: Convert to fraction form
    229,793.14/344,503.80 = 103,340.80/x
  3. Step 3: Cross multiply
    229,793.14x = 344,503.80 × 103,340.80
  4. Step 4: Simplify right side
    229,793.14x = 35,601,298,295.04
  5. Step 5: Solve for x
    x = 35,601,298,295.04/229,793.14
  6. Step 6: Final answer
    x = 154,927.59

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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.