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Finding the Fourth Proportional to 225,651.64, 338,477.46 and 114,921.40

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Solution

The fourth proportional to 225,651.64, 338,477.46 and 114,921.40 is: 172,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,651.64 : 338,477.46 = 114,921.40 : x
  2. Step 2: Convert to fraction form
    225,651.64/338,477.46 = 114,921.40/x
  3. Step 3: Cross multiply
    225,651.64x = 338,477.46 × 114,921.40
  4. Step 4: Simplify right side
    225,651.64x = 38,898,303,571.64
  5. Step 5: Solve for x
    x = 38,898,303,571.64/225,651.64
  6. Step 6: Final answer
    x = 172,382.10

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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.