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Finding the Fourth Proportional to 237,906.37, 356,746.56 and 138,097.18

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Solution

The fourth proportional to 237,906.37, 356,746.56 and 138,097.18 is: 207,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,906.37 : 356,746.56 = 138,097.18 : x
  2. Step 2: Convert to fraction form
    237,906.37/356,746.56 = 138,097.18/x
  3. Step 3: Cross multiply
    237,906.37x = 356,746.56 × 138,097.18
  4. Step 4: Simplify right side
    237,906.37x = 49,265,693,910.70
  5. Step 5: Solve for x
    x = 49,265,693,910.70/237,906.37
  6. Step 6: Final answer
    x = 207,080.18

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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.