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Finding the Fourth Proportional to 178,072.33, 245,739.87 and 97,504.96

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Solution

The fourth proportional to 178,072.33, 245,739.87 and 97,504.96 is: 134,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,072.33 : 245,739.87 = 97,504.96 : x
  2. Step 2: Convert to fraction form
    178,072.33/245,739.87 = 97,504.96/x
  3. Step 3: Cross multiply
    178,072.33x = 245,739.87 × 97,504.96
  4. Step 4: Simplify right side
    178,072.33x = 23,960,855,580.41
  5. Step 5: Solve for x
    x = 23,960,855,580.41/178,072.33
  6. Step 6: Final answer
    x = 134,556.87

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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.