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Finding the Fourth Proportional to 264,755.43, 365,415.63 and 157,304.78

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Solution

The fourth proportional to 264,755.43, 365,415.63 and 157,304.78 is: 217,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,755.43 : 365,415.63 = 157,304.78 : x
  2. Step 2: Convert to fraction form
    264,755.43/365,415.63 = 157,304.78/x
  3. Step 3: Cross multiply
    264,755.43x = 365,415.63 × 157,304.78
  4. Step 4: Simplify right side
    264,755.43x = 57,481,625,285.71
  5. Step 5: Solve for x
    x = 57,481,625,285.71/264,755.43
  6. Step 6: Final answer
    x = 217,112.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.