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Finding the Fourth Proportional to 150,341.54, 207,471.56 and 82,357.02

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Solution

The fourth proportional to 150,341.54, 207,471.56 and 82,357.02 is: 113,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,341.54 : 207,471.56 = 82,357.02 : x
  2. Step 2: Convert to fraction form
    150,341.54/207,471.56 = 82,357.02/x
  3. Step 3: Cross multiply
    150,341.54x = 207,471.56 × 82,357.02
  4. Step 4: Simplify right side
    150,341.54x = 17,086,739,416.35
  5. Step 5: Solve for x
    x = 17,086,739,416.35/150,341.54
  6. Step 6: Final answer
    x = 113,652.82

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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.