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Finding the Fourth Proportional to 250,576.88, 345,796.16 and 137,402.06

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Solution

The fourth proportional to 250,576.88, 345,796.16 and 137,402.06 is: 189,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,576.88 : 345,796.16 = 137,402.06 : x
  2. Step 2: Convert to fraction form
    250,576.88/345,796.16 = 137,402.06/x
  3. Step 3: Cross multiply
    250,576.88x = 345,796.16 × 137,402.06
  4. Step 4: Simplify right side
    250,576.88x = 47,513,102,308.10
  5. Step 5: Solve for x
    x = 47,513,102,308.10/250,576.88
  6. Step 6: Final answer
    x = 189,614.87

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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.