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Finding the Fourth Proportional to 205,734.20, 308,018.10 and 182,406.20

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Solution

The fourth proportional to 205,734.20, 308,018.10 and 182,406.20 is: 273,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,734.20 : 308,018.10 = 182,406.20 : x
  2. Step 2: Convert to fraction form
    205,734.20/308,018.10 = 182,406.20/x
  3. Step 3: Cross multiply
    205,734.20x = 308,018.10 × 182,406.20
  4. Step 4: Simplify right side
    205,734.20x = 56,184,411,152.22
  5. Step 5: Solve for x
    x = 56,184,411,152.22/205,734.20
  6. Step 6: Final answer
    x = 273,092.23

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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.