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Finding the Fourth Proportional to 225,925.92, 311,777.64 and 123,952.05

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Solution

The fourth proportional to 225,925.92, 311,777.64 and 123,952.05 is: 171,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,925.92 : 311,777.64 = 123,952.05 : x
  2. Step 2: Convert to fraction form
    225,925.92/311,777.64 = 123,952.05/x
  3. Step 3: Cross multiply
    225,925.92x = 311,777.64 × 123,952.05
  4. Step 4: Simplify right side
    225,925.92x = 38,645,477,622.16
  5. Step 5: Solve for x
    x = 38,645,477,622.16/225,925.92
  6. Step 6: Final answer
    x = 171,053.76

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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.