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Finding the Fourth Proportional to 223,907.54, 308,665.96 and 170,099.15

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Solution

The fourth proportional to 223,907.54, 308,665.96 and 170,099.15 is: 234,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,907.54 : 308,665.96 = 170,099.15 : x
  2. Step 2: Convert to fraction form
    223,907.54/308,665.96 = 170,099.15/x
  3. Step 3: Cross multiply
    223,907.54x = 308,665.96 × 170,099.15
  4. Step 4: Simplify right side
    223,907.54x = 52,503,815,461.36
  5. Step 5: Solve for x
    x = 52,503,815,461.36/223,907.54
  6. Step 6: Final answer
    x = 234,488.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.