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Finding the Fourth Proportional to 305,530.11, 421,682.22 and 178,205.69

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Solution

The fourth proportional to 305,530.11, 421,682.22 and 178,205.69 is: 245,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,530.11 : 421,682.22 = 178,205.69 : x
  2. Step 2: Convert to fraction form
    305,530.11/421,682.22 = 178,205.69/x
  3. Step 3: Cross multiply
    305,530.11x = 421,682.22 × 178,205.69
  4. Step 4: Simplify right side
    305,530.11x = 75,146,172,030.04
  5. Step 5: Solve for x
    x = 75,146,172,030.04/305,530.11
  6. Step 6: Final answer
    x = 245,953.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.