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Finding the Fourth Proportional to 362,713.82, 543,921.41 and 157,561.61

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Solution

The fourth proportional to 362,713.82, 543,921.41 and 157,561.61 is: 236,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.82 : 543,921.41 = 157,561.61 : x
  2. Step 2: Convert to fraction form
    362,713.82/543,921.41 = 157,561.61/x
  3. Step 3: Cross multiply
    362,713.82x = 543,921.41 × 157,561.61
  4. Step 4: Simplify right side
    362,713.82x = 85,701,130,747.37
  5. Step 5: Solve for x
    x = 85,701,130,747.37/362,713.82
  6. Step 6: Final answer
    x = 236,277.55

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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.