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Finding the Fourth Proportional to 181,953.38, 251,097.35 and 100,284.54

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Solution

The fourth proportional to 181,953.38, 251,097.35 and 100,284.54 is: 138,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953.38 : 251,097.35 = 100,284.54 : x
  2. Step 2: Convert to fraction form
    181,953.38/251,097.35 = 100,284.54/x
  3. Step 3: Cross multiply
    181,953.38x = 251,097.35 × 100,284.54
  4. Step 4: Simplify right side
    181,953.38x = 25,181,181,738.55
  5. Step 5: Solve for x
    x = 25,181,181,738.55/181,953.38
  6. Step 6: Final answer
    x = 138,393.60

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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.