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Finding the Fourth Proportional to 218,493.24, 301,549.41 and 123,018.54

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Solution

The fourth proportional to 218,493.24, 301,549.41 and 123,018.54 is: 169,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,493.24 : 301,549.41 = 123,018.54 : x
  2. Step 2: Convert to fraction form
    218,493.24/301,549.41 = 123,018.54/x
  3. Step 3: Cross multiply
    218,493.24x = 301,549.41 × 123,018.54
  4. Step 4: Simplify right side
    218,493.24x = 37,096,168,156.06
  5. Step 5: Solve for x
    x = 37,096,168,156.06/218,493.24
  6. Step 6: Final answer
    x = 169,781.77

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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.