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Finding the Fourth Proportional to 221,212.93, 305,274.15 and 120,610.93

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Solution

The fourth proportional to 221,212.93, 305,274.15 and 120,610.93 is: 166,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,212.93 : 305,274.15 = 120,610.93 : x
  2. Step 2: Convert to fraction form
    221,212.93/305,274.15 = 120,610.93/x
  3. Step 3: Cross multiply
    221,212.93x = 305,274.15 × 120,610.93
  4. Step 4: Simplify right side
    221,212.93x = 36,819,399,136.46
  5. Step 5: Solve for x
    x = 36,819,399,136.46/221,212.93
  6. Step 6: Final answer
    x = 166,443.25

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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.