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Finding the Fourth Proportional to 305,450.76, 421,521.92 and 178,101.76

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Solution

The fourth proportional to 305,450.76, 421,521.92 and 178,101.76 is: 245,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,450.76 : 421,521.92 = 178,101.76 : x
  2. Step 2: Convert to fraction form
    305,450.76/421,521.92 = 178,101.76/x
  3. Step 3: Cross multiply
    305,450.76x = 421,521.92 × 178,101.76
  4. Step 4: Simplify right side
    305,450.76x = 75,073,795,830.58
  5. Step 5: Solve for x
    x = 75,073,795,830.58/305,450.76
  6. Step 6: Final answer
    x = 245,780.35

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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.