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Finding the Fourth Proportional to 165,659.50, 248,528.40 and 54,851.50

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Solution

The fourth proportional to 165,659.50, 248,528.40 and 54,851.50 is: 82,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,659.50 : 248,528.40 = 54,851.50 : x
  2. Step 2: Convert to fraction form
    165,659.50/248,528.40 = 54,851.50/x
  3. Step 3: Cross multiply
    165,659.50x = 248,528.40 × 54,851.50
  4. Step 4: Simplify right side
    165,659.50x = 13,632,155,532.60
  5. Step 5: Solve for x
    x = 13,632,155,532.60/165,659.50
  6. Step 6: Final answer
    x = 82,290.21

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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.