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Finding the Fourth Proportional to 270,701.60, 405,274.80 and 165,725.60

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Solution

The fourth proportional to 270,701.60, 405,274.80 and 165,725.60 is: 248,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,701.60 : 405,274.80 = 165,725.60 : x
  2. Step 2: Convert to fraction form
    270,701.60/405,274.80 = 165,725.60/x
  3. Step 3: Cross multiply
    270,701.60x = 405,274.80 × 165,725.60
  4. Step 4: Simplify right side
    270,701.60x = 67,164,409,394.88
  5. Step 5: Solve for x
    x = 67,164,409,394.88/270,701.60
  6. Step 6: Final answer
    x = 248,112.35

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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.