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Finding the Fourth Proportional to 182,844, 252,317.84 and 102,278.97

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Solution

The fourth proportional to 182,844, 252,317.84 and 102,278.97 is: 141,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,844 : 252,317.84 = 102,278.97 : x
  2. Step 2: Convert to fraction form
    182,844/252,317.84 = 102,278.97/x
  3. Step 3: Cross multiply
    182,844x = 252,317.84 × 102,278.97
  4. Step 4: Simplify right side
    182,844x = 25,806,808,276.43
  5. Step 5: Solve for x
    x = 25,806,808,276.43/182,844
  6. Step 6: Final answer
    x = 141,141.13

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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.