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Finding the Fourth Proportional to 280,287.56, 386,797.92 and 152,966

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Solution

The fourth proportional to 280,287.56, 386,797.92 and 152,966 is: 211,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,287.56 : 386,797.92 = 152,966 : x
  2. Step 2: Convert to fraction form
    280,287.56/386,797.92 = 152,966/x
  3. Step 3: Cross multiply
    280,287.56x = 386,797.92 × 152,966
  4. Step 4: Simplify right side
    280,287.56x = 59,166,930,630.72
  5. Step 5: Solve for x
    x = 59,166,930,630.72/280,287.56
  6. Step 6: Final answer
    x = 211,093.67

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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.