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Finding the Fourth Proportional to 186,822.86, 280,304.38 and 111,996.32

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Solution

The fourth proportional to 186,822.86, 280,304.38 and 111,996.32 is: 168,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822.86 : 280,304.38 = 111,996.32 : x
  2. Step 2: Convert to fraction form
    186,822.86/280,304.38 = 111,996.32/x
  3. Step 3: Cross multiply
    186,822.86x = 280,304.38 × 111,996.32
  4. Step 4: Simplify right side
    186,822.86x = 31,393,059,039.88
  5. Step 5: Solve for x
    x = 31,393,059,039.88/186,822.86
  6. Step 6: Final answer
    x = 168,036.50

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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.