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Finding the Fourth Proportional to 165,065.10, 247,597.65 and 164,080.95

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Solution

The fourth proportional to 165,065.10, 247,597.65 and 164,080.95 is: 246,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,065.10 : 247,597.65 = 164,080.95 : x
  2. Step 2: Convert to fraction form
    165,065.10/247,597.65 = 164,080.95/x
  3. Step 3: Cross multiply
    165,065.10x = 247,597.65 × 164,080.95
  4. Step 4: Simplify right side
    165,065.10x = 40,626,057,629.77
  5. Step 5: Solve for x
    x = 40,626,057,629.77/165,065.10
  6. Step 6: Final answer
    x = 246,121.43

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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.