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Finding the Fourth Proportional to 218,954.67, 302,178.38 and 137,295.93

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Solution

The fourth proportional to 218,954.67, 302,178.38 and 137,295.93 is: 189,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,954.67 : 302,178.38 = 137,295.93 : x
  2. Step 2: Convert to fraction form
    218,954.67/302,178.38 = 137,295.93/x
  3. Step 3: Cross multiply
    218,954.67x = 302,178.38 × 137,295.93
  4. Step 4: Simplify right side
    218,954.67x = 41,487,861,021.51
  5. Step 5: Solve for x
    x = 41,487,861,021.51/218,954.67
  6. Step 6: Final answer
    x = 189,481.51

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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.