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Finding the Fourth Proportional to 307,093.14, 423,797.40 and 178,032.06

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Solution

The fourth proportional to 307,093.14, 423,797.40 and 178,032.06 is: 245,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,093.14 : 423,797.40 = 178,032.06 : x
  2. Step 2: Convert to fraction form
    307,093.14/423,797.40 = 178,032.06/x
  3. Step 3: Cross multiply
    307,093.14x = 423,797.40 × 178,032.06
  4. Step 4: Simplify right side
    307,093.14x = 75,449,524,144.64
  5. Step 5: Solve for x
    x = 75,449,524,144.64/307,093.14
  6. Step 6: Final answer
    x = 245,689.38

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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.