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Finding the Fourth Proportional to 165,711.60, 248,275.80 and 135,968.40

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Solution

The fourth proportional to 165,711.60, 248,275.80 and 135,968.40 is: 203,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,711.60 : 248,275.80 = 135,968.40 : x
  2. Step 2: Convert to fraction form
    165,711.60/248,275.80 = 135,968.40/x
  3. Step 3: Cross multiply
    165,711.60x = 248,275.80 × 135,968.40
  4. Step 4: Simplify right side
    165,711.60x = 33,757,663,284.72
  5. Step 5: Solve for x
    x = 33,757,663,284.72/165,711.60
  6. Step 6: Final answer
    x = 203,713.34

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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.