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Finding the Fourth Proportional to 226,448.64, 312,491.52 and 125,844.48

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Solution

The fourth proportional to 226,448.64, 312,491.52 and 125,844.48 is: 173,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,448.64 : 312,491.52 = 125,844.48 : x
  2. Step 2: Convert to fraction form
    226,448.64/312,491.52 = 125,844.48/x
  3. Step 3: Cross multiply
    226,448.64x = 312,491.52 × 125,844.48
  4. Step 4: Simplify right side
    226,448.64x = 39,325,332,838.81
  5. Step 5: Solve for x
    x = 39,325,332,838.81/226,448.64
  6. Step 6: Final answer
    x = 173,661.16

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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.