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Finding the Fourth Proportional to 225,465.52, 311,141.75 and 127,338.02

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Solution

The fourth proportional to 225,465.52, 311,141.75 and 127,338.02 is: 175,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,465.52 : 311,141.75 = 127,338.02 : x
  2. Step 2: Convert to fraction form
    225,465.52/311,141.75 = 127,338.02/x
  3. Step 3: Cross multiply
    225,465.52x = 311,141.75 × 127,338.02
  4. Step 4: Simplify right side
    225,465.52x = 39,620,173,942.11
  5. Step 5: Solve for x
    x = 39,620,173,942.11/225,465.52
  6. Step 6: Final answer
    x = 175,726.09

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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.