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Finding the Fourth Proportional to 202,796.96, 304,039.92 and 123,948.32

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Solution

The fourth proportional to 202,796.96, 304,039.92 and 123,948.32 is: 185,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,796.96 : 304,039.92 = 123,948.32 : x
  2. Step 2: Convert to fraction form
    202,796.96/304,039.92 = 123,948.32/x
  3. Step 3: Cross multiply
    202,796.96x = 304,039.92 × 123,948.32
  4. Step 4: Simplify right side
    202,796.96x = 37,685,237,296.93
  5. Step 5: Solve for x
    x = 37,685,237,296.93/202,796.96
  6. Step 6: Final answer
    x = 185,827.43

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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.