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Finding the Fourth Proportional to 218,026.68, 301,105.26 and 150,219.96

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Solution

The fourth proportional to 218,026.68, 301,105.26 and 150,219.96 is: 207,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,026.68 : 301,105.26 = 150,219.96 : x
  2. Step 2: Convert to fraction form
    218,026.68/301,105.26 = 150,219.96/x
  3. Step 3: Cross multiply
    218,026.68x = 301,105.26 × 150,219.96
  4. Step 4: Simplify right side
    218,026.68x = 45,232,020,112.99
  5. Step 5: Solve for x
    x = 45,232,020,112.99/218,026.68
  6. Step 6: Final answer
    x = 207,460.94

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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.