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Finding the Fourth Proportional to 289,438.16, 434,305.50 and 137,806.83

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Solution

The fourth proportional to 289,438.16, 434,305.50 and 137,806.83 is: 206,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,438.16 : 434,305.50 = 137,806.83 : x
  2. Step 2: Convert to fraction form
    289,438.16/434,305.50 = 137,806.83/x
  3. Step 3: Cross multiply
    289,438.16x = 434,305.50 × 137,806.83
  4. Step 4: Simplify right side
    289,438.16x = 59,850,265,292.33
  5. Step 5: Solve for x
    x = 59,850,265,292.33/289,438.16
  6. Step 6: Final answer
    x = 206,780.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.