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Finding the Fourth Proportional to 358,507.12, 538,092.60 and 181,138.96

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Solution

The fourth proportional to 358,507.12, 538,092.60 and 181,138.96 is: 271,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,507.12 : 538,092.60 = 181,138.96 : x
  2. Step 2: Convert to fraction form
    358,507.12/538,092.60 = 181,138.96/x
  3. Step 3: Cross multiply
    358,507.12x = 538,092.60 × 181,138.96
  4. Step 4: Simplify right side
    358,507.12x = 97,469,533,947.70
  5. Step 5: Solve for x
    x = 97,469,533,947.70/358,507.12
  6. Step 6: Final answer
    x = 271,876.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.