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Finding the Fourth Proportional to 257,834.06, 386,906.62 and 110,090.06

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Solution

The fourth proportional to 257,834.06, 386,906.62 and 110,090.06 is: 165,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,834.06 : 386,906.62 = 110,090.06 : x
  2. Step 2: Convert to fraction form
    257,834.06/386,906.62 = 110,090.06/x
  3. Step 3: Cross multiply
    257,834.06x = 386,906.62 × 110,090.06
  4. Step 4: Simplify right side
    257,834.06x = 42,594,573,702.24
  5. Step 5: Solve for x
    x = 42,594,573,702.24/257,834.06
  6. Step 6: Final answer
    x = 165,201.50

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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.