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Finding the Fourth Proportional to 182,139.50, 251,352.51 and 102,651.50

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Solution

The fourth proportional to 182,139.50, 251,352.51 and 102,651.50 is: 141,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,139.50 : 251,352.51 = 102,651.50 : x
  2. Step 2: Convert to fraction form
    182,139.50/251,352.51 = 102,651.50/x
  3. Step 3: Cross multiply
    182,139.50x = 251,352.51 × 102,651.50
  4. Step 4: Simplify right side
    182,139.50x = 25,801,712,180.27
  5. Step 5: Solve for x
    x = 25,801,712,180.27/182,139.50
  6. Step 6: Final answer
    x = 141,659.07

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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.