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Finding the Fourth Proportional to 218,908.88, 302,094.65 and 123,415.34

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Solution

The fourth proportional to 218,908.88, 302,094.65 and 123,415.34 is: 170,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,908.88 : 302,094.65 = 123,415.34 : x
  2. Step 2: Convert to fraction form
    218,908.88/302,094.65 = 123,415.34/x
  3. Step 3: Cross multiply
    218,908.88x = 302,094.65 × 123,415.34
  4. Step 4: Simplify right side
    218,908.88x = 37,283,113,324.85
  5. Step 5: Solve for x
    x = 37,283,113,324.85/218,908.88
  6. Step 6: Final answer
    x = 170,313.39

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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.