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Finding the Fourth Proportional to 268,905.50, 403,358.28 and 81,917

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Solution

The fourth proportional to 268,905.50, 403,358.28 and 81,917 is: 122,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,905.50 : 403,358.28 = 81,917 : x
  2. Step 2: Convert to fraction form
    268,905.50/403,358.28 = 81,917/x
  3. Step 3: Cross multiply
    268,905.50x = 403,358.28 × 81,917
  4. Step 4: Simplify right side
    268,905.50x = 33,041,900,222.76
  5. Step 5: Solve for x
    x = 33,041,900,222.76/268,905.50
  6. Step 6: Final answer
    x = 122,875.51

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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.