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Finding the Fourth Proportional to 165,846.88, 248,795.03 and 53,490.16

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Solution

The fourth proportional to 165,846.88, 248,795.03 and 53,490.16 is: 80,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,846.88 : 248,795.03 = 53,490.16 : x
  2. Step 2: Convert to fraction form
    165,846.88/248,795.03 = 53,490.16/x
  3. Step 3: Cross multiply
    165,846.88x = 248,795.03 × 53,490.16
  4. Step 4: Simplify right side
    165,846.88x = 13,308,085,961.90
  5. Step 5: Solve for x
    x = 13,308,085,961.90/165,846.88
  6. Step 6: Final answer
    x = 80,243.21

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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.