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Finding the Fourth Proportional to 148,045.80, 204,301.54 and 80,977

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Solution

The fourth proportional to 148,045.80, 204,301.54 and 80,977 is: 111,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,045.80 : 204,301.54 = 80,977 : x
  2. Step 2: Convert to fraction form
    148,045.80/204,301.54 = 80,977/x
  3. Step 3: Cross multiply
    148,045.80x = 204,301.54 × 80,977
  4. Step 4: Simplify right side
    148,045.80x = 16,543,725,804.58
  5. Step 5: Solve for x
    x = 16,543,725,804.58/148,045.80
  6. Step 6: Final answer
    x = 111,747.35

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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.