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Finding the Fourth Proportional to 178,594.46, 246,452.46 and 98,022.14

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Solution

The fourth proportional to 178,594.46, 246,452.46 and 98,022.14 is: 135,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,594.46 : 246,452.46 = 98,022.14 : x
  2. Step 2: Convert to fraction form
    178,594.46/246,452.46 = 98,022.14/x
  3. Step 3: Cross multiply
    178,594.46x = 246,452.46 × 98,022.14
  4. Step 4: Simplify right side
    178,594.46x = 24,157,797,537.46
  5. Step 5: Solve for x
    x = 24,157,797,537.46/178,594.46
  6. Step 6: Final answer
    x = 135,266.22

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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.