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Finding the Fourth Proportional to 222,406.74, 333,280.08 and 116,905.86

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Solution

The fourth proportional to 222,406.74, 333,280.08 and 116,905.86 is: 175,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,406.74 : 333,280.08 = 116,905.86 : x
  2. Step 2: Convert to fraction form
    222,406.74/333,280.08 = 116,905.86/x
  3. Step 3: Cross multiply
    222,406.74x = 333,280.08 × 116,905.86
  4. Step 4: Simplify right side
    222,406.74x = 38,962,394,373.27
  5. Step 5: Solve for x
    x = 38,962,394,373.27/222,406.74
  6. Step 6: Final answer
    x = 175,185.31

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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.