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Finding the Fourth Proportional to 183,163.92, 252,768.74 and 119,465.16

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Solution

The fourth proportional to 183,163.92, 252,768.74 and 119,465.16 is: 164,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,163.92 : 252,768.74 = 119,465.16 : x
  2. Step 2: Convert to fraction form
    183,163.92/252,768.74 = 119,465.16/x
  3. Step 3: Cross multiply
    183,163.92x = 252,768.74 × 119,465.16
  4. Step 4: Simplify right side
    183,163.92x = 30,197,057,967.10
  5. Step 5: Solve for x
    x = 30,197,057,967.10/183,163.92
  6. Step 6: Final answer
    x = 164,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.