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Finding the Fourth Proportional to 250,859, 376,288.50 and 84,647

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Solution

The fourth proportional to 250,859, 376,288.50 and 84,647 is: 126,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,859 : 376,288.50 = 84,647 : x
  2. Step 2: Convert to fraction form
    250,859/376,288.50 = 84,647/x
  3. Step 3: Cross multiply
    250,859x = 376,288.50 × 84,647
  4. Step 4: Simplify right side
    250,859x = 31,851,692,659.50
  5. Step 5: Solve for x
    x = 31,851,692,659.50/250,859
  6. Step 6: Final answer
    x = 126,970.50

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Why These Related Problems?

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