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Finding the Fourth Proportional to 218,743.96, 301,894.50 and 123,274.12

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Solution

The fourth proportional to 218,743.96, 301,894.50 and 123,274.12 is: 170,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,743.96 : 301,894.50 = 123,274.12 : x
  2. Step 2: Convert to fraction form
    218,743.96/301,894.50 = 123,274.12/x
  3. Step 3: Cross multiply
    218,743.96x = 301,894.50 × 123,274.12
  4. Step 4: Simplify right side
    218,743.96x = 37,215,778,820.34
  5. Step 5: Solve for x
    x = 37,215,778,820.34/218,743.96
  6. Step 6: Final answer
    x = 170,133.97

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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.