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Finding the Fourth Proportional to 185,536.49, 256,041 and 100,654.16

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Solution

The fourth proportional to 185,536.49, 256,041 and 100,654.16 is: 138,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,536.49 : 256,041 = 100,654.16 : x
  2. Step 2: Convert to fraction form
    185,536.49/256,041 = 100,654.16/x
  3. Step 3: Cross multiply
    185,536.49x = 256,041 × 100,654.16
  4. Step 4: Simplify right side
    185,536.49x = 25,771,590,500.36
  5. Step 5: Solve for x
    x = 25,771,590,500.36/185,536.49
  6. Step 6: Final answer
    x = 138,903.09

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