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Finding the Fourth Proportional to 165,706.80, 248,601.60 and 53,397.60

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Solution

The fourth proportional to 165,706.80, 248,601.60 and 53,397.60 is: 80,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,706.80 : 248,601.60 = 53,397.60 : x
  2. Step 2: Convert to fraction form
    165,706.80/248,601.60 = 53,397.60/x
  3. Step 3: Cross multiply
    165,706.80x = 248,601.60 × 53,397.60
  4. Step 4: Simplify right side
    165,706.80x = 13,274,728,796.16
  5. Step 5: Solve for x
    x = 13,274,728,796.16/165,706.80
  6. Step 6: Final answer
    x = 80,109.74

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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.