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Finding the Fourth Proportional to 182,578.59, 251,959.73 and 102,009.51

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Solution

The fourth proportional to 182,578.59, 251,959.73 and 102,009.51 is: 140,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,578.59 : 251,959.73 = 102,009.51 : x
  2. Step 2: Convert to fraction form
    182,578.59/251,959.73 = 102,009.51/x
  3. Step 3: Cross multiply
    182,578.59x = 251,959.73 × 102,009.51
  4. Step 4: Simplify right side
    182,578.59x = 25,702,288,597.03
  5. Step 5: Solve for x
    x = 25,702,288,597.03/182,578.59
  6. Step 6: Final answer
    x = 140,773.84

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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.