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Finding the Fourth Proportional to 254,809.54, 382,214.49 and 65,270.62

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Solution

The fourth proportional to 254,809.54, 382,214.49 and 65,270.62 is: 97,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,809.54 : 382,214.49 = 65,270.62 : x
  2. Step 2: Convert to fraction form
    254,809.54/382,214.49 = 65,270.62/x
  3. Step 3: Cross multiply
    254,809.54x = 382,214.49 × 65,270.62
  4. Step 4: Simplify right side
    254,809.54x = 24,947,376,735.28
  5. Step 5: Solve for x
    x = 24,947,376,735.28/254,809.54
  6. Step 6: Final answer
    x = 97,905.98

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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.