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Finding the Fourth Proportional to 225,904.92, 311,747.52 and 123,927.78

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Solution

The fourth proportional to 225,904.92, 311,747.52 and 123,927.78 is: 171,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,904.92 : 311,747.52 = 123,927.78 : x
  2. Step 2: Convert to fraction form
    225,904.92/311,747.52 = 123,927.78/x
  3. Step 3: Cross multiply
    225,904.92x = 311,747.52 × 123,927.78
  4. Step 4: Simplify right side
    225,904.92x = 38,634,178,074.11
  5. Step 5: Solve for x
    x = 38,634,178,074.11/225,904.92
  6. Step 6: Final answer
    x = 171,019.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.