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Finding the Fourth Proportional to 151,576.08, 209,165.78 and 83,593.78

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Solution

The fourth proportional to 151,576.08, 209,165.78 and 83,593.78 is: 115,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,576.08 : 209,165.78 = 83,593.78 : x
  2. Step 2: Convert to fraction form
    151,576.08/209,165.78 = 83,593.78/x
  3. Step 3: Cross multiply
    151,576.08x = 209,165.78 × 83,593.78
  4. Step 4: Simplify right side
    151,576.08x = 17,484,958,196.85
  5. Step 5: Solve for x
    x = 17,484,958,196.85/151,576.08
  6. Step 6: Final answer
    x = 115,354.34

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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.