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Finding the Fourth Proportional to 204,896.96, 282,776.48 and 124,344.96

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Solution

The fourth proportional to 204,896.96, 282,776.48 and 124,344.96 is: 171,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,896.96 : 282,776.48 = 124,344.96 : x
  2. Step 2: Convert to fraction form
    204,896.96/282,776.48 = 124,344.96/x
  3. Step 3: Cross multiply
    204,896.96x = 282,776.48 × 124,344.96
  4. Step 4: Simplify right side
    204,896.96x = 35,161,830,094.54
  5. Step 5: Solve for x
    x = 35,161,830,094.54/204,896.96
  6. Step 6: Final answer
    x = 171,607.38

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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.