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Finding the Fourth Proportional to 225,903.36, 311,726.16 and 123,924.36

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Solution

The fourth proportional to 225,903.36, 311,726.16 and 123,924.36 is: 171,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,903.36 : 311,726.16 = 123,924.36 : x
  2. Step 2: Convert to fraction form
    225,903.36/311,726.16 = 123,924.36/x
  3. Step 3: Cross multiply
    225,903.36x = 311,726.16 × 123,924.36
  4. Step 4: Simplify right side
    225,903.36x = 38,630,464,873.26
  5. Step 5: Solve for x
    x = 38,630,464,873.26/225,903.36
  6. Step 6: Final answer
    x = 171,004.38

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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.