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Finding the Fourth Proportional to 273,978.23, 378,206.37 and 166,582.58

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Solution

The fourth proportional to 273,978.23, 378,206.37 and 166,582.58 is: 229,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,978.23 : 378,206.37 = 166,582.58 : x
  2. Step 2: Convert to fraction form
    273,978.23/378,206.37 = 166,582.58/x
  3. Step 3: Cross multiply
    273,978.23x = 378,206.37 × 166,582.58
  4. Step 4: Simplify right side
    273,978.23x = 63,002,590,996.00
  5. Step 5: Solve for x
    x = 63,002,590,996.00/273,978.23
  6. Step 6: Final answer
    x = 229,954.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.