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Finding the Fourth Proportional to 221,575.12, 305,347.03 and 161,049.89

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Solution

The fourth proportional to 221,575.12, 305,347.03 and 161,049.89 is: 221,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,575.12 : 305,347.03 = 161,049.89 : x
  2. Step 2: Convert to fraction form
    221,575.12/305,347.03 = 161,049.89/x
  3. Step 3: Cross multiply
    221,575.12x = 305,347.03 × 161,049.89
  4. Step 4: Simplify right side
    221,575.12x = 49,176,105,954.07
  5. Step 5: Solve for x
    x = 49,176,105,954.07/221,575.12
  6. Step 6: Final answer
    x = 221,938.76

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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.