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Finding the Fourth Proportional to 225,574.58, 311,629.92 and 148,233.08

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Solution

The fourth proportional to 225,574.58, 311,629.92 and 148,233.08 is: 204,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,574.58 : 311,629.92 = 148,233.08 : x
  2. Step 2: Convert to fraction form
    225,574.58/311,629.92 = 148,233.08/x
  3. Step 3: Cross multiply
    225,574.58x = 311,629.92 × 148,233.08
  4. Step 4: Simplify right side
    225,574.58x = 46,193,862,861.75
  5. Step 5: Solve for x
    x = 46,193,862,861.75/225,574.58
  6. Step 6: Final answer
    x = 204,783.10

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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.