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Finding the Fourth Proportional to 225,097.28, 337,646.49 and 91,977.54

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Solution

The fourth proportional to 225,097.28, 337,646.49 and 91,977.54 is: 137,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,097.28 : 337,646.49 = 91,977.54 : x
  2. Step 2: Convert to fraction form
    225,097.28/337,646.49 = 91,977.54/x
  3. Step 3: Cross multiply
    225,097.28x = 337,646.49 × 91,977.54
  4. Step 4: Simplify right side
    225,097.28x = 31,055,891,851.60
  5. Step 5: Solve for x
    x = 31,055,891,851.60/225,097.28
  6. Step 6: Final answer
    x = 137,966.54

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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.