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Finding the Fourth Proportional to 150,758.82, 208,051.13 and 82,780.18

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Solution

The fourth proportional to 150,758.82, 208,051.13 and 82,780.18 is: 114,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,758.82 : 208,051.13 = 82,780.18 : x
  2. Step 2: Convert to fraction form
    150,758.82/208,051.13 = 82,780.18/x
  3. Step 3: Cross multiply
    150,758.82x = 208,051.13 × 82,780.18
  4. Step 4: Simplify right side
    150,758.82x = 17,222,509,677.43
  5. Step 5: Solve for x
    x = 17,222,509,677.43/150,758.82
  6. Step 6: Final answer
    x = 114,238.82

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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.