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Finding the Fourth Proportional to 149,141.69, 205,815.25 and 84,623.59

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Solution

The fourth proportional to 149,141.69, 205,815.25 and 84,623.59 is: 116,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,141.69 : 205,815.25 = 84,623.59 : x
  2. Step 2: Convert to fraction form
    149,141.69/205,815.25 = 84,623.59/x
  3. Step 3: Cross multiply
    149,141.69x = 205,815.25 × 84,623.59
  4. Step 4: Simplify right side
    149,141.69x = 17,416,825,218.79
  5. Step 5: Solve for x
    x = 17,416,825,218.79/149,141.69
  6. Step 6: Final answer
    x = 116,780.39

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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.