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Finding the Fourth Proportional to 229,727.92, 344,240.16 and 154,569.64

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Solution

The fourth proportional to 229,727.92, 344,240.16 and 154,569.64 is: 231,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,727.92 : 344,240.16 = 154,569.64 : x
  2. Step 2: Convert to fraction form
    229,727.92/344,240.16 = 154,569.64/x
  3. Step 3: Cross multiply
    229,727.92x = 344,240.16 × 154,569.64
  4. Step 4: Simplify right side
    229,727.92x = 53,209,077,604.74
  5. Step 5: Solve for x
    x = 53,209,077,604.74/229,727.92
  6. Step 6: Final answer
    x = 231,617.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.