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Finding the Fourth Proportional to 227,678.32, 314,172.22 and 132,166.36

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Solution

The fourth proportional to 227,678.32, 314,172.22 and 132,166.36 is: 182,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,678.32 : 314,172.22 = 132,166.36 : x
  2. Step 2: Convert to fraction form
    227,678.32/314,172.22 = 132,166.36/x
  3. Step 3: Cross multiply
    227,678.32x = 314,172.22 × 132,166.36
  4. Step 4: Simplify right side
    227,678.32x = 41,522,996,498.83
  5. Step 5: Solve for x
    x = 41,522,996,498.83/227,678.32
  6. Step 6: Final answer
    x = 182,375.72

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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.