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Finding the Fourth Proportional to 148,450, 204,855.51 and 80,465.51

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Solution

The fourth proportional to 148,450, 204,855.51 and 80,465.51 is: 111,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,450 : 204,855.51 = 80,465.51 : x
  2. Step 2: Convert to fraction form
    148,450/204,855.51 = 80,465.51/x
  3. Step 3: Cross multiply
    148,450x = 204,855.51 × 80,465.51
  4. Step 4: Simplify right side
    148,450x = 16,483,803,088.46
  5. Step 5: Solve for x
    x = 16,483,803,088.46/148,450
  6. Step 6: Final answer
    x = 111,039.43

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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.