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Finding the Fourth Proportional to 256,351.14, 384,718.95 and 96,584.67

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Solution

The fourth proportional to 256,351.14, 384,718.95 and 96,584.67 is: 144,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,351.14 : 384,718.95 = 96,584.67 : x
  2. Step 2: Convert to fraction form
    256,351.14/384,718.95 = 96,584.67/x
  3. Step 3: Cross multiply
    256,351.14x = 384,718.95 × 96,584.67
  4. Step 4: Simplify right side
    256,351.14x = 37,157,952,828.50
  5. Step 5: Solve for x
    x = 37,157,952,828.50/256,351.14
  6. Step 6: Final answer
    x = 144,949.43

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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.