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Finding the Fourth Proportional to 223,885.86, 308,984.31 and 167,198.82

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Solution

The fourth proportional to 223,885.86, 308,984.31 and 167,198.82 is: 230,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,885.86 : 308,984.31 = 167,198.82 : x
  2. Step 2: Convert to fraction form
    223,885.86/308,984.31 = 167,198.82/x
  3. Step 3: Cross multiply
    223,885.86x = 308,984.31 × 167,198.82
  4. Step 4: Simplify right side
    223,885.86x = 51,661,812,030.51
  5. Step 5: Solve for x
    x = 51,661,812,030.51/223,885.86
  6. Step 6: Final answer
    x = 230,750.67

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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.