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Finding the Fourth Proportional to 165,334, 248,001.12 and 54,526

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Solution

The fourth proportional to 165,334, 248,001.12 and 54,526 is: 81,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,334 : 248,001.12 = 54,526 : x
  2. Step 2: Convert to fraction form
    165,334/248,001.12 = 54,526/x
  3. Step 3: Cross multiply
    165,334x = 248,001.12 × 54,526
  4. Step 4: Simplify right side
    165,334x = 13,522,509,069.12
  5. Step 5: Solve for x
    x = 13,522,509,069.12/165,334
  6. Step 6: Final answer
    x = 81,789.04

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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.