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Finding the Fourth Proportional to 218,144.80, 301,032.12 and 122,656.96

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Solution

The fourth proportional to 218,144.80, 301,032.12 and 122,656.96 is: 169,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,144.80 : 301,032.12 = 122,656.96 : x
  2. Step 2: Convert to fraction form
    218,144.80/301,032.12 = 122,656.96/x
  3. Step 3: Cross multiply
    218,144.80x = 301,032.12 × 122,656.96
  4. Step 4: Simplify right side
    218,144.80x = 36,923,684,701.56
  5. Step 5: Solve for x
    x = 36,923,684,701.56/218,144.80
  6. Step 6: Final answer
    x = 169,262.27

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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.