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Finding the Fourth Proportional to 225,962.48, 312,240.83 and 164,601.87

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Solution

The fourth proportional to 225,962.48, 312,240.83 and 164,601.87 is: 227,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,962.48 : 312,240.83 = 164,601.87 : x
  2. Step 2: Convert to fraction form
    225,962.48/312,240.83 = 164,601.87/x
  3. Step 3: Cross multiply
    225,962.48x = 312,240.83 × 164,601.87
  4. Step 4: Simplify right side
    225,962.48x = 51,395,423,685.34
  5. Step 5: Solve for x
    x = 51,395,423,685.34/225,962.48
  6. Step 6: Final answer
    x = 227,451.15

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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.