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Finding the Fourth Proportional to 613,254.84, 919,809.81 and 164,010.53

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Solution

The fourth proportional to 613,254.84, 919,809.81 and 164,010.53 is: 245,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,254.84 : 919,809.81 = 164,010.53 : x
  2. Step 2: Convert to fraction form
    613,254.84/919,809.81 = 164,010.53/x
  3. Step 3: Cross multiply
    613,254.84x = 919,809.81 × 164,010.53
  4. Step 4: Simplify right side
    613,254.84x = 150,858,494,437.30
  5. Step 5: Solve for x
    x = 150,858,494,437.30/613,254.84
  6. Step 6: Final answer
    x = 245,996.42

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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.