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Finding the Fourth Proportional to 185,822.70, 256,431.01 and 108,293.40

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Solution

The fourth proportional to 185,822.70, 256,431.01 and 108,293.40 is: 149,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,822.70 : 256,431.01 = 108,293.40 : x
  2. Step 2: Convert to fraction form
    185,822.70/256,431.01 = 108,293.40/x
  3. Step 3: Cross multiply
    185,822.70x = 256,431.01 × 108,293.40
  4. Step 4: Simplify right side
    185,822.70x = 27,769,785,938.33
  5. Step 5: Solve for x
    x = 27,769,785,938.33/185,822.70
  6. Step 6: Final answer
    x = 149,442.38

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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.