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Finding the Fourth Proportional to 680,850, 1,021,275 and 182,201.04

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Solution

The fourth proportional to 680,850, 1,021,275 and 182,201.04 is: 273,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,850 : 1,021,275 = 182,201.04 : x
  2. Step 2: Convert to fraction form
    680,850/1,021,275 = 182,201.04/x
  3. Step 3: Cross multiply
    680,850x = 1,021,275 × 182,201.04
  4. Step 4: Simplify right side
    680,850x = 186,077,367,126
  5. Step 5: Solve for x
    x = 186,077,367,126/680,850
  6. Step 6: Final answer
    x = 273,301.56

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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.