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Finding the Fourth Proportional to 148,307.82, 204,701.39 and 84,682.50

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Solution

The fourth proportional to 148,307.82, 204,701.39 and 84,682.50 is: 116,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,307.82 : 204,701.39 = 84,682.50 : x
  2. Step 2: Convert to fraction form
    148,307.82/204,701.39 = 84,682.50/x
  3. Step 3: Cross multiply
    148,307.82x = 204,701.39 × 84,682.50
  4. Step 4: Simplify right side
    148,307.82x = 17,334,625,458.68
  5. Step 5: Solve for x
    x = 17,334,625,458.68/148,307.82
  6. Step 6: Final answer
    x = 116,882.75

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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.