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Finding the Fourth Proportional to 225,814.14, 311,588.10 and 130,302.72

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Solution

The fourth proportional to 225,814.14, 311,588.10 and 130,302.72 is: 179,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.14 : 311,588.10 = 130,302.72 : x
  2. Step 2: Convert to fraction form
    225,814.14/311,588.10 = 130,302.72/x
  3. Step 3: Cross multiply
    225,814.14x = 311,588.10 × 130,302.72
  4. Step 4: Simplify right side
    225,814.14x = 40,600,776,949.63
  5. Step 5: Solve for x
    x = 40,600,776,949.63/225,814.14
  6. Step 6: Final answer
    x = 179,797.32

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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.