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Finding the Fourth Proportional to 178,115.14, 245,791.02 and 97,546.06

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Solution

The fourth proportional to 178,115.14, 245,791.02 and 97,546.06 is: 134,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,115.14 : 245,791.02 = 97,546.06 : x
  2. Step 2: Convert to fraction form
    178,115.14/245,791.02 = 97,546.06/x
  3. Step 3: Cross multiply
    178,115.14x = 245,791.02 × 97,546.06
  4. Step 4: Simplify right side
    178,115.14x = 23,975,945,584.38
  5. Step 5: Solve for x
    x = 23,975,945,584.38/178,115.14
  6. Step 6: Final answer
    x = 134,609.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.