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Finding the Fourth Proportional to 257,062.82, 385,342.54 and 107,345.92

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Solution

The fourth proportional to 257,062.82, 385,342.54 and 107,345.92 is: 160,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,062.82 : 385,342.54 = 107,345.92 : x
  2. Step 2: Convert to fraction form
    257,062.82/385,342.54 = 107,345.92/x
  3. Step 3: Cross multiply
    257,062.82x = 385,342.54 × 107,345.92
  4. Step 4: Simplify right side
    257,062.82x = 41,364,949,471.44
  5. Step 5: Solve for x
    x = 41,364,949,471.44/257,062.82
  6. Step 6: Final answer
    x = 160,913.78

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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.