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Finding the Fourth Proportional to 188,182.49, 259,686.05 and 102,137.40

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Solution

The fourth proportional to 188,182.49, 259,686.05 and 102,137.40 is: 140,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,182.49 : 259,686.05 = 102,137.40 : x
  2. Step 2: Convert to fraction form
    188,182.49/259,686.05 = 102,137.40/x
  3. Step 3: Cross multiply
    188,182.49x = 259,686.05 × 102,137.40
  4. Step 4: Simplify right side
    188,182.49x = 26,523,657,452.58
  5. Step 5: Solve for x
    x = 26,523,657,452.58/188,182.49
  6. Step 6: Final answer
    x = 140,946.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.