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Finding the Fourth Proportional to 178,174.96, 245,684.41 and 113,541.82

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Solution

The fourth proportional to 178,174.96, 245,684.41 and 113,541.82 is: 156,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,174.96 : 245,684.41 = 113,541.82 : x
  2. Step 2: Convert to fraction form
    178,174.96/245,684.41 = 113,541.82/x
  3. Step 3: Cross multiply
    178,174.96x = 245,684.41 × 113,541.82
  4. Step 4: Simplify right side
    178,174.96x = 27,895,455,057.03
  5. Step 5: Solve for x
    x = 27,895,455,057.03/178,174.96
  6. Step 6: Final answer
    x = 156,562.15

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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.