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Finding the Fourth Proportional to 225,885.06, 311,669.06 and 135,206.55

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Solution

The fourth proportional to 225,885.06, 311,669.06 and 135,206.55 is: 186,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,885.06 : 311,669.06 = 135,206.55 : x
  2. Step 2: Convert to fraction form
    225,885.06/311,669.06 = 135,206.55/x
  3. Step 3: Cross multiply
    225,885.06x = 311,669.06 × 135,206.55
  4. Step 4: Simplify right side
    225,885.06x = 42,139,697,668.31
  5. Step 5: Solve for x
    x = 42,139,697,668.31/225,885.06
  6. Step 6: Final answer
    x = 186,553.72

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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.