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Finding the Fourth Proportional to 225,706.89, 311,479.05 and 135,066.68

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Solution

The fourth proportional to 225,706.89, 311,479.05 and 135,066.68 is: 186,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.89 : 311,479.05 = 135,066.68 : x
  2. Step 2: Convert to fraction form
    225,706.89/311,479.05 = 135,066.68/x
  3. Step 3: Cross multiply
    225,706.89x = 311,479.05 × 135,066.68
  4. Step 4: Simplify right side
    225,706.89x = 42,070,441,173.05
  5. Step 5: Solve for x
    x = 42,070,441,173.05/225,706.89
  6. Step 6: Final answer
    x = 186,394.14

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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.