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Finding the Fourth Proportional to 225,977.64, 311,816.55 and 145,514.26

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Solution

The fourth proportional to 225,977.64, 311,816.55 and 145,514.26 is: 200,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,977.64 : 311,816.55 = 145,514.26 : x
  2. Step 2: Convert to fraction form
    225,977.64/311,816.55 = 145,514.26/x
  3. Step 3: Cross multiply
    225,977.64x = 311,816.55 × 145,514.26
  4. Step 4: Simplify right side
    225,977.64x = 45,373,754,529.00
  5. Step 5: Solve for x
    x = 45,373,754,529.00/225,977.64
  6. Step 6: Final answer
    x = 200,788.69

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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.