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Finding the Fourth Proportional to 146,805.37, 202,594.08 and 83,156.38

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Solution

The fourth proportional to 146,805.37, 202,594.08 and 83,156.38 is: 114,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,805.37 : 202,594.08 = 83,156.38 : x
  2. Step 2: Convert to fraction form
    146,805.37/202,594.08 = 83,156.38/x
  3. Step 3: Cross multiply
    146,805.37x = 202,594.08 × 83,156.38
  4. Step 4: Simplify right side
    146,805.37x = 16,846,990,302.23
  5. Step 5: Solve for x
    x = 16,846,990,302.23/146,805.37
  6. Step 6: Final answer
    x = 114,757.32

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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.