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Finding the Fourth Proportional to 185,843.47, 256,443.42 and 103,055.38

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Solution

The fourth proportional to 185,843.47, 256,443.42 and 103,055.38 is: 142,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,843.47 : 256,443.42 = 103,055.38 : x
  2. Step 2: Convert to fraction form
    185,843.47/256,443.42 = 103,055.38/x
  3. Step 3: Cross multiply
    185,843.47x = 256,443.42 × 103,055.38
  4. Step 4: Simplify right side
    185,843.47x = 26,427,874,096.60
  5. Step 5: Solve for x
    x = 26,427,874,096.60/185,843.47
  6. Step 6: Final answer
    x = 142,205.02

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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.