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Finding the Fourth Proportional to 148,682.58, 205,185.02 and 84,151.82

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Solution

The fourth proportional to 148,682.58, 205,185.02 and 84,151.82 is: 116,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,682.58 : 205,185.02 = 84,151.82 : x
  2. Step 2: Convert to fraction form
    148,682.58/205,185.02 = 84,151.82/x
  3. Step 3: Cross multiply
    148,682.58x = 205,185.02 × 84,151.82
  4. Step 4: Simplify right side
    148,682.58x = 17,266,691,423.05
  5. Step 5: Solve for x
    x = 17,266,691,423.05/148,682.58
  6. Step 6: Final answer
    x = 116,131.23

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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.