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Finding the Fourth Proportional to 165,954.96, 248,709.24 and 90,962.64

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Solution

The fourth proportional to 165,954.96, 248,709.24 and 90,962.64 is: 136,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,954.96 : 248,709.24 = 90,962.64 : x
  2. Step 2: Convert to fraction form
    165,954.96/248,709.24 = 90,962.64/x
  3. Step 3: Cross multiply
    165,954.96x = 248,709.24 × 90,962.64
  4. Step 4: Simplify right side
    165,954.96x = 22,623,249,062.79
  5. Step 5: Solve for x
    x = 22,623,249,062.79/165,954.96
  6. Step 6: Final answer
    x = 136,321.62

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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.