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Finding the Fourth Proportional to 170,241, 255,361.50 and 53,505

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Solution

The fourth proportional to 170,241, 255,361.50 and 53,505 is: 80,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,241 : 255,361.50 = 53,505 : x
  2. Step 2: Convert to fraction form
    170,241/255,361.50 = 53,505/x
  3. Step 3: Cross multiply
    170,241x = 255,361.50 × 53,505
  4. Step 4: Simplify right side
    170,241x = 13,663,117,057.50
  5. Step 5: Solve for x
    x = 13,663,117,057.50/170,241
  6. Step 6: Final answer
    x = 80,257.50

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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.