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Finding the Fourth Proportional to 165,812.36, 248,754.08 and 53,499

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Solution

The fourth proportional to 165,812.36, 248,754.08 and 53,499 is: 80,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,812.36 : 248,754.08 = 53,499 : x
  2. Step 2: Convert to fraction form
    165,812.36/248,754.08 = 53,499/x
  3. Step 3: Cross multiply
    165,812.36x = 248,754.08 × 53,499
  4. Step 4: Simplify right side
    165,812.36x = 13,308,094,525.92
  5. Step 5: Solve for x
    x = 13,308,094,525.92/165,812.36
  6. Step 6: Final answer
    x = 80,259.97

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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.